Question

PLEASE HELP!! MEDAL

The function A (b) relates to the area of trapezoid with a given height of 10 and one base length of 7 with the length of its other base.
It takes as input the other base value, and returns as output the area of the trapezoid.
A (b)= 10 × b+7/ 2
Which equation below represents the inverse function B (a) which takes the trapezoid's area as input and returns as output the length of the other base?

Answer 1

A. B (a) = a/5 -7
B. B (a) = a/5 +7
C. B (a)= a/7 -5
D. B (a) = a/7 +5

Answer 2

I believe
\[A(b) = \frac{1}{2} \times 10 \times (b+7)\]
The question asks you to find the inverse of the function which means "write b in terms of a"
Multiply both sides by 2 and divide both sides by 10
\[\frac{2A}{10}=b+7\]
Subtract both sides by 7
\[\frac{a}{5}-7=b(A)\]