Linear vs Percent Change

Linear Change vs. Exponential Change

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?

• $$t\left(p\right)=100+10p$$

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

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

• $$p\left(t\right)=100+10t$$