Name:__________ warm-up 7-2

State the domain and range of y = –3(2)x State the domain and range of

The function P(t) = 12,995(0.88)t gives the value of a type of car after t years. Find the value of the car after 10 years.

The number of bees in a hive is growing exponentially at a rate of 40% per day. The hive begins with 25 bees. Which function models the population of the hive after t days?

Details of the DayEQ:How do exponential functions model real world problems and their solutions?

I will be able to…

Activities:Warm-upReview wupReview homeworkNotes: 7-2 Class work/ HW

Vocabulary:

.

• Solve exponential equations.

• Solve exponential

inequalities.

• exponential equation

• compound interest

• exponential inequality

7-2 Solving Exponential Equations and Inequalities

F(x)= a + k

A Quick Review State the domain and range of y = –3(2)x State the domain and range of

A Quick Review The function P(t) = 12,995(0.88)t gives the value of a type of car after t years. Find the value of the car after 10 years.

The number of bees in a hive is growing exponentially at a rate of 40% per day. The hive begins with 25 bees. Which function models the population of the hive after t days?

Notes and examples

Solve the equation 3x = 94 Solve the equation 25x = 42x – 1

Notes and examplesSolve the equation 4x = 643 Solve the equation 32x = 95x – 4

Notes and examples. POPULATION In 2000, the population of Phoenix was 1,321,045. By 2007, it was estimated at 1,512,986. Write an exponential function that could be used to model the population of Phoenix. Write x in terms of the numbers of years since 2000.

POPULATION In 2000, the population of Phoenix was 1,321,045. By 2007, it was estimated at 1,512,986. Predict the population of Phoenix in 2013.

Notes and examples POPULATION In 2000, the population of the town of Tisdale was 9,426. By 2007, it was estimated at 17,942. Write an exponential function that could be used to model the population of Tisdale. Write x in terms of the numbers of years since 2000.

POPULATION In 2000, the population of the town of Tisdale was 9,426. By 2007, it was estimated at 17,942. Predict the population of Tisdale in 2012.

Notes and examples

An investment account pays 5.4% annual interest compounded quarterly. If $4000 is placed in this account, find the balance after 8 years.

Notes and examplesAn investment account pays 4.6% annual interest compounded quarterly. If $6050 is placed in this account, find the balance after 6 years.

Notes and examples

Notes and examples

Notes and examples

Notes and examples

Notes and examples