Unit 6 Exponential percent Increase/Decrease

Exponential Growth and Decay - % Increase and decrease

Algebra 1

​Exponential Growth

​Exponential Decay

Multiple Choice

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

Multiple Choice

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵
• 70(2)⁵
• 2(70)⁵
• 5(70)²

Multiple Choice

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
• 9765
• 5433

Linear Change

Exponential Change

Multiple Choice

Recently Northtown's student body has increased by 4% each year.

Is this LINEAR or EXPONENTIAL growth?

• LINEAR

• EXPONENTIAL

Multiple Choice

In 2020 Northtown had 1500 students and the student body increased by 4% each year. Which function models N, the number of students at Northtown, as a function of t, the number of years since 2020?

• $$N\left(t\right)=1500+0.04t$$

• $$t\left(N\right)=1500+0.04N$$

• $$N\left(t\right)=1500\left(1+0.04\right)^t$$

• $$t\left(N\right)=1500\left(1+0.04\right)^N$$

Multiple Choice

Ms. Potter gets 10 more students each year.

Is this LINEAR or EXPONENTIAL growth?

• LINEAR

• EXPONENTIAL

Multiple Choice

In her first year of teaching Ms. Potter had 100 students. Her total number of students increased by 10 students per year.

Which function models p, the total number of Ms. Potter's students, as a function of t, the number of years she has been teaching?

• $$t\left(p\right)=100+10p$$

• $$t\left(p\right)=100\left(1+0.10\right)^p$$

• $$p\left(t\right)=100\left(1+0.10\right)^t$$

• $$p\left(t\right)=100+10t$$