Jenna’s age is 6 years less than half of Andy’s age.

Let J = Jenna’s age, let A= Andy’s age.

a. Which equation is correct?J=6−1

2A or J=1

2A−6

b. If Jenna is 22, how old is Andy?

c. Use the equation to prove your answer

Station One

Station 2licensed under CC BY-NC

Brandon’s Dad pays him for his grades. The equation that shows the relationship between the grades that Brandon earns and how much money he receives from his Dad, M, is shown below.

50 A+10B – 10D – 20F=M

a. How much does Brandon earn for an A?

b. What happens if Brandon earns an F?

c. How much money does Brandon earn or have to pay for a C?

Cheyenne signs up for a summer reading contest. She plans to read 30 books during the contest. Her goal is to read a certain number of books per week.

B (w )=30−2.5w

a. The function models … (Choose one and explain your choice.) how many books Cheyenne has read based on the number

of weeks she is in the contest.

how many books Cheyenne has left to read based on the number of weeks she is in the contest.

how many weeks has the contest been going based on the number of books she has read.

b. If she keeps her pace, how many books will she have read in six weeks?

Station 3

Let W = width of the rectangle.

a. What does the expression model?

W –5+W +W –5+W

b. Is the length of the rectangle longer or shorter than the width? How do you know?

c. Can the perimeter of the rectangle be 60 if its width is 17.5? Prove why or why not.

Station 4

W

W−5

A large pizza sells for seven dollars and each topping is an extra $1.25. Assume only one pizza.

a. Circle the equation that represents the relationship between number of toppings and total cost of the pizza.

P=7 n+1.25 n=1.25P+7 P=1.25n+7 P=(7+1.25)n

b. Define the variables in the equation that you chose. Let P = Let n =

c. A four topping pizza should cost $12. Use your equation and this information to prove that the equation you chose is correct.

Station 5

Station 6

The cost for hosting the Cross Country team’s end-of-season banquet is a function in terms of the number of people who will attend.

The equation T=100+12 p models this relationship. Let T = the total cost, let p= number of people.

a. Tom thinks that the 100 in the equation means that 100 people will attend. He is wrong. Correct his error and give one possibility for what the 100 might represent.

b. If dinner costs $9.25 per person, what is the cost of dessert?

Station 6

When Byron babysits for his Aunt, she pays him some gas money to drive to her house and a certain amount per hour to watch her two kids: Cecilia (age 5) and Bobby (age 3).

The equation P=8h+10 relates the amount Byron is paid in terms of the number of hours he works.

a. What is the amount Byron’s Aunt pays him for gas? How do you know?

b. Use the equation to prove that it is possible for Byron to make $70 in one day. How would he do that?

Station 7

The equation A=D+C relates the number of dogs,D, and the number of cats, C, to the total number of animals in the shelter.

a. If the ratio of dogs to cats in the Shelby Township animal shelter is 2:1 and there are 12 animals in the shelter, how many of each kind of animal are there?

b. In the Mount Clemens shelter, there are 21 animals and 6 of them are cats. What is the ratio of dogs to cats in the Mount Clemens shelter?

Station 8