Question

Algera i Function Approach Part 2Jocelyn's weight during m months of dieting is described by the functionf m = -6m + 172. How many months had she been dieting when her weight was 130pounds?

Answer 1

The function gives us the weight of Jocelyn as a function of the months' dieting. Then, we can pose the question as follows:

$f(m)=-6m+172\Rightarrow130=-6m+172_{}$

Then, then we need to determine the number of moths transcurred for Jocelyn to have a weight of 130, using the previous formula. Therefore:

$0=-6m+172-130\Rightarrow6m=172-130\Rightarrow6m=142\Rightarrow m=\frac{142}{6}_{}$

Then, Jocelyn has been dieting for 142/6 = 23.67 months when her weight was 130 pounds.