Writing Exponential Equations

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1 +.35)^x
• y = 15(1- .35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(1+ 15,000)^x
• y=15,000(1+ .08)^x
• y=15,000(1 - .08)^x
• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - .30)^x
• y=30(1- 5000)^x
• y=5000(1 + .30)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? Round your answer

• 9766

• 9006

• 9765

• 5433

Tags

CCSS.HSF.BF.A.2

Use the function, M=.05(2)^t, where M is the amount of money you have after t days.
How much money will you have after 14 days?

• $ 819.20
• $ 8,192.00
• $ 1.40
• $ 819.02

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

CCSS.HSF.IF.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

Use the function, N = 14,000(.96)^t. Where N is the number of employees and t is the number of years.
How many employees will there be after 3 years?

• 14,000 employees
• 12,386 employees
• 40,360 employees
• 15,748 employees

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

Use the function, N = 14,000(.96)^t. Where N is the number of employees and t is the number of years.

What is the rate?

• 4%

• 96%

• 40%

• .96%

Tags

CCSS.HSF-IF.C.8B

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

Tags

CCSS.HSF.LE.B.5

Which equation is an exponential equation?

• $y=3x+15$

• $y=0.5x+10$

• $y=3\left(2\right)^x$

• $y=300-10x$

Tags

CCSS.HSF.LE.A.1

What is the exponential equation?

Your new computer cost $1500 but it decreases in value by about 18% each year.

• y=1500(1.18)^x

• y=1500(.82)^x

• y=18(1500)^x

• y=1500(18)^x

Tags

CCSS.HSF.LE.A.2