Determine whether or not the function is linear. If it is, determine the slope and interpret it.
-The population of a small town is given by P $\mathrm { P } ( \mathrm { t } ) = 59 \mathrm { t } + 12,350$ , where t is the number of years past 2010.
A) Not linear
B) Linear; 59; Each year since 2010, the population decreased by 59 people.
C) Linear; 59; Each year since 2010, the population increased by 59 people.
D) Linear; 12,350; Each year since 2010, the population increased by 12,350 people.

Question

Quizplus · Accepted Answer

The function $P(t) = 59t + 12,350$ is linear because it can be written in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. The slope is 59, which means the population increases by 59 people each year since 2010.

Determine Whether or Not the Function Is Linear P(t)=59t+12,350\mathrm { P } ( \mathrm { t } ) = 59 \mathrm { t } + 12,350P(t)=59t+12,350

Determine Whether or Not the Function Is Linear $\mathrm { P } ( \mathrm { t } ) = 59 \mathrm { t } + 12,350$