Question

Beth's fitness tracker shows that she logged 4,300 steps at work today. Beth wants to get more steps in, so she goes for a jog after work. The fitness tracker shows she averages 100 steps per minute while jogging. You can use a function to approximate the total number of steps she will have logged today after she jogs for x minutes after work.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.

Answer 1

This is linear. Let x be minutes jogged after work (x ≥ 0). The total steps f(x) = 100x + 4300, where 100 is steps per minute and 4300 is the starting steps.