Chamblee Middle Schoolchambleems.dekalb.k12.ga.us/Downloads/VII-T8-INTERPRET SLOPE-30-.pdfBrent is trying to figure out the relationship between the number of times his friends post

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Coordinate Algebra EOC (GSE) QuizInterpreting Categorical and Quantitative Data - (MGSE9‐12.S.ID.7 ) Interpret Slope

Student Name: _______________________ Date: _________Teacher Name: THUYNGA DAO Score: _________

1)

Suppose an airplane climbs 15 feet for every 40 feet it moves forward. What is the slope of this airplane's ascent?

A)- 3

8

B)- 8

3

C)1

3

D)3

8

2) Cathy pays $25 a month plus $0.05 per text message. She models this with the function C = 0.05x + 25. If the text messaging feeincreases to $0.10, what is her new function?

A) C = 10x + 25

B) C = 0.10x + 25

C) C = 0.10x + 0.05

D) C = 0.05x + 0.10

3) Greg sells cars. He makes a base salary of $25,000, plus $1500 per car he sells. The function that models this situation is S =1500x + 25000. After working at the car dealership for 2 years, he gets a raise. He now makes $1700 per car he sells. What is thenew function that models this situation?

A) S = 1700x + 1500

B) S = 1500x + 1700

C) S = 1700x + 25000

D) S = 25000x + 1700

4) In the function y = 0.25x + 3.5, y represents the cost of a gallon of milk after a certain number of years, x. How much does the costof milk increase every year?

A) $0.07

B) $0.25

C) $0.60

D) $14

5)

W = pt + 105



A wrestler is trying to gain weight for an upcoming match. His current weight is 105. In the formula shown, W = weight, p = poundsand t = time(weeks). He has 6 weeks before his match and has a goal weight of 123 pounds. Determine the minimum number ofpounds he must gain per week to meet his goal.

A) 1 pound

B) 2 pounds

C) 3 pounds

D) 4 pounds



6)

A pizza parlor sells a basic cheese pizza for $6. There is a charge to add additional toppings. Based on the graph, determine the priceper topping.

A) $0.25

B) $0.50

C) $0.75

D) $1

7) The population, in millions, of a city t years after 1990 is given by the equation P(t) = 2.9 + 0.08t. In this function,

A) 0.08 million is the population of the city in 1990 and 2.9 million is the increase per year in the population.

B) 2.9 million is the population of the city in 1991 and 2.98 million is the population in 1992.

C) 2.9 million is the population of the city in 1990 and 0.08 million is the increase per year in the population.

D) 2.9 million is the population of the city in 1990 and 0.08 million is the decrease per year in the population.

8) A high school chorus has $1000 in its school account at the beginning of the year. They are putting on a fall concert to raisemoney for a trip later in the year. At the concert last year they sold tickets for $10 each. If they sell tickets at the same price the totalamount in the chorus account can be represented by the linear function T = 10x + 1000. If they increase the ticket price to $15, howmany tickets will they have to sell to have a total of $4000 in the account?

A) 100 tickets

B) 150 tickets

C) 200 tickets

D) 250 tickets

9) Chris has $100 in his savings account and he adds $20 a month to the account. The total amount can be represented by the linearfunction T = 20x + 100. His goal is to have a total of $300 in four more months. What should he change in the function to reach thisgoal?

A) Change the amount he adds each month to $50.

B) Change the amount he adds each month to $40.

C) Change the y-intercept of the linear function to $20.

D) Change the y-intercept of the linear function to $50.

10)



The graph shows how many sandwiches can be made from different numbers of loaves of bread. What is the slope of the graph?

A) 10

B) 5

C)1

20

D)1

10

11)



Brent is trying to figure out the relationship between the number of times his friends post on social media and their grade pointaverages. He records the collected data on a scatter plot. Which correlation exists between the GPA and the number of social mediaposts?

A) no correlation

B) cannot be determined

C) weak positive correlation

D) strong negative correlation



12) Jessie owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 foreach topping that you want. This can be modeled by the equation C = .5x + 1.5, where C is the total cost of the hot dog and x is thenumber of toppings you ordered. The company that he buys his hot dogs from was having a sale so he was able to buy the hot dogsfor less. He will now sell them for $0.25 less than before. What should be changed in the equation C = .5x + 1.5 to represent this?

A) Replace the .5 with a .75

B) Replace the .5 with a .25.

C) Replace the 1.5 with a 1.25

D) Replace the 1.5 with a 1.75

13) A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function

f(x) = 435 + 1200x, where x is measured in weeks.

What is the meaning of the constant 435?

A) It is the amount they started with.

B) It is the amount still to be raised.

C) It is the amount which is left over.

D) It is the amount they raise each week.

14)

How many inches does the ramp rise for each inch of length? Round to the nearest hundredth.

A) .25 inches

B) .33 inches

C) .34 inches

D) .67 inches

15) Mrs. Mitchell decided to grade her projects by giving each student 50 points if they turned in a project and then an additional 5points for each part they got correct. After looking through some of the projects, she decided to give the students 7 points for eachcorrect section. If Mrs. Mitchell wrote a function to describe the situation, what would change?

A) the slope

B) the y-intercept

C) both the slope and y-intercept

D) the function would remain the same

16) The tooth fairy brings Jack $5 plus $1 for each tooth that he loses. After Jack loses a few teeth, the tooth fairy decides that he ispaying too much money for teeth. He now gives Jack $5 plus $0.50 for each tooth lost. Which graph shows the new function?



A)

B)



C)

D)

17) Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linearregression equation for the data to be y = 9.6x + 65.8. What does the 9.6 mean in the context of this equation?

A) His friends on average studied 9.6 hours.

B) If they studied 9.6 hours they would get a 0 on the test.

C) They should study 9.6 hours in order to get an A on the test.

D) For every hour they studied their grade would go up 9.6 points.



18) A science class is tracking the progress of plant growth. The class starts the experiment with a plant five centimeters high. Theplant grows two centimeters each day. The model for plant growth "y" is given by: y = 2x + 5. What is the meaning of the y-interceptin this equation?

A) the y-intercept is the starting date

B) the y-intercept is two times larger than five

C) the y-intercept is the starting height of the plant

D) the y-intercept is the largest height the plant can grow

19)

Find the slope of ED.

A) -1

B) 0

C) 1

D) undefined

20) Managers at a company rate employee's on performance and attitude and find that an employee's attitude depends on theirperformance. They find a linear relationship and the line of best fit is y = 11.7 + 1.02x. What does 1.02 mean in the context of theproblem?

A) That if their attitude rating was 0 the performance rating would be 1.02.

B) That if the performance rating was 0, their attitude rating would be 1.02.

C) That for every point their performance rating goes up their attitude rating improves by 1.02 points.

D) That for every point their attitude rating goes up their performance rating improves by 1.02 points.

21) Joseph owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50for each topping that you want. This can be modeled by the equation C = .5x + 1.5, where C is the total cost of the hot dog and x isthe number of toppings you ordered. Hattie sells hamburgers at the stand next door and has the same basic cost except she charges$2.50 for a plain hamburger and then $0.25 for each additional topping. How should she change Joseph's cost equation to representher hamburger cost?

A) Replace the .5 with a .25.

B) Replace the 1.5 with a 2.5

C) Switch the x and C.

D) Replace the .5 with a .25 and the 1.5 with a 2.5

22)



What is the slope of the line?

A) 1

B) 6

C) 8

D)1

2

23) A small company did an analysis of their pay scale versus years of experience and found that the line of best fit was y = 2035.6x+ 36,000. What does the 2035.6 mean in context of the problem?

A) That employees on average earn $2035.60 per year.

B) That if they had 2035.6 years of experience they would earn $0.

C) That they should have 2035.6 years of experience in order to earn the most money.

D) That for every year of experience they have their salary would increase by $2035.60.

24) A small company did an analysis of their pay scale versus years of experience and found that the line of best fit was y = 2035.6x+ 36,000. What does the 36,000 mean in context of the problem?

A) That the lowest salary anyone could earn was 36,000.

B) That if they had 0 years of experience their salary would be 36,000.

C) That currently the lowest salary of any employee in the company was 36,000.

D) That for every year of experience they had their salary would go up 36,000.



25) Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. Hemodels his savings plan with the equation y = 400x + 1000 based on his current income and monthly savings rate. What is themeaning of the y-intercept in the equation?

A) largest amount that he can save

B) date when he will have enough saved

C) date his savings account was started

D) starting amount in his savings account

26)

Find the slope of EF.

A) -1

B) 0

C) 1

D) 2

27) Eric sells shirts. It costs him $100 to buy all the shirts and $10 to print designs on the shirts. Eric sells each shirt for $4. So farEric has sold 20 shirts. Eric uses an equation to calculate his total profit.

What is the slope of the equation modeling this situation?

A) 4

B) 10

C) 20

D) 40

28) Managers at a company rate employee's on performance and attitude and find that an employee's attitude depends on theirperformance. They find a linear relationship and the line of best fit is y = 11.7 + 1.02x. If the performance rating increased by 2points what would happen to the attitude rating?

A) It would increase by 2.04 points.

B) It would increase by 11.25 points.

C) It would increase by 23.4 points.

D) It would increase by 0.089 points.

29) Profit is equal to the revenue obtained from selling items minus the cost of producing those items, i.e. P(x) = R(x) – C(x) where xis the number of items produced. If C(x) = 0.5x + 3 and R(x) = 2.5x, what should the production level, x, be to generate a profit of$99?

A) 50

B) 51

C) 52

D) 53

30) Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linearregression equation for the data to be y = 9.6x + 65.8. What does the 65.8 mean in the context of this equation?

A) If they studied 0 hours they would earn a 65.8.

B) The lowest grade of his five friends was a 65.8.



C) The lowest grade they could receive on the test was a 65.8.

D) For every hour they studied their grade would go up 65.8 points.

Documents

Chamblee Middle Schoolchambleems.dekalb.k12.ga.us/Downloads/VII-T8-INTERPRET SLOPE-30-.pdfBrent is trying to figure out the relationship between the number of times his friends post