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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?

Algera i Function Approach Part 2Jocelyn's weight during m months of dieting is described-example-1

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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=(142)/(6)_{}

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

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