Exponential Functions, Growth/ Decay

In an exponential function, what does the 'a' represent?

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

• GROWTH FACTOR

Tags

CCSS.HSF.LE.B.5

The value of a new car is modeled by the equation f(x) = 15 000(0.92)^x where x represents the number of years since the car was purchased. What is the percentage of decay?

• ^.08

• ^1.08

• .92

• 8

• 92

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(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

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

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

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?

• 9766

• 9006

• 8934

• 5433

• 6534

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(.97)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1.03)^x

• f(x)=400(0.03)^x

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? (hint: create equation first)

• 101

• 102

• 103

• 104

• 99

Tags

CCSS.HSF.LE.A.4

x y

0 1

1 4

2 16

3 64

• y = 1(4)^x

• y = 4(2)^x

• y = 1(1/4)^x

• y = 64 (1/4)^x

• y = 3x + 1

x y

0 32

1 16

2 8

3 4

• y = 32(1/2)^x

• y = 32(2)^x

• y = 4(2)^x

• y = 4 (1/2)^x

• y = -16x + 32