9M3T2 Using Exponential Functions

What is the equation of the line that represents the horizontal asymptote of the function f(x) = 25,000(1 + 0.025)^x ?

• x=0

• y=0

• x=25000

• y=25000

Tags

CCSS.HSF-IF.C.7D

The average attendance at a local high school this year was 950 students. Each year the attendance decreases at a rate of 0.5% per year. What will the average attendance be in three years?

• 945

• 941

• 936

• 893

Tags

CCSS.HSF.BF.A.2

The graph represents the exponential function that models the relationship between the temperature of a cooling beverage and the time in minutes. At about how many minutes after the beverage started cooling will its temperature be 70⁰F?

• 12

• 14

• 16

• 18

The formula for an account that earns compound interest is P_t = P₀(1 + r) ^t , where P_t represents the balance in the account after t years, P₀ represents the initial deposit, and r represents the interest rate. Brenda deposited $225 into an account that earns 7.25% compound interest. How much will be in her account after six years?

• $342.43

• $319.28

• $297.70

• $241.31

Brigitte keeps $500 in a safe at her home. She also deposits $1000 in a savings account that earns 1.3% compound interest. Which function models the total amount of money Brigitte has over time, t?

• f(t) = 1500 ⋅(1.013)^t

• f(t) = 1000⋅(1.013)^t + 500

• f(t) = 1000⋅(1.013)^t + 500^t

• f(t) = 1000⋅(500.013)^t

Tags

CCSS.HSF.LE.A.2

The equation f(t) = 13,000(1.024)^t models the annual tuition at a private school over time, t. By what percent does the tuition increase each year?

• 0.24%

• 2.4%

• 1.024%

• 24%

Tags

CCSS.HSF-LE.A.1C

The equation f(x) = 9000 ⋅ (0.985)^t models the population of Blueville, where x represents the number of years since 2012. What is the population of Blueville in 2012?

• 135

• 985

• 8865

• 9000

Tags

CCSS.HSF.LE.B.5

In a lab, a biologist watches how fast a virus replicates. He records the following data. What is the average rate of change between hours 2 and 9?

• The number of viruses increases by about 44 viruses per hour.

• The number of viruses increases by about 19 viruses per hour.

• The number of viruses increases by about 23 viruses per hour.

• The number of viruses increases by about 25 viruses per hour.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Luis deposits $4000 into a compound interest account paying 6% annual interest. Which function represents the balance in the account over time, t?

• f(t) = 4000 ⋅ (1.06)^t

• f(t) = 4000 ⋅ (1.6)^t

• f(t) = 4000 + (1.06)^t

• f(t) = 4000 + (1.6)t

Tags

CCSS.HSF.LE.A.2

The number of crickets on the school campus is decreasing exponentially. After one month, the number of crickets decreased from 1,200 to 1158. Which equation models this population decrease?

• y = 1200(1+0.035)^x

• y = 1200(1-0.35)^x

• y = 1200(1-0.035)^x

• y = 1200(1+0.35)^x

Tags

CCSS.HSF.LE.A.2