Question

The function A(b) relates the area of a 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

well, how do you change the equation so that the right side is noly b

Answer 2

A=5(B+7), B+7=A/5,

Answer 3

Help please, at least a little bit more.

Answer 4

If I may help?

Answer 5

Of course!

Answer 6

Thank you.

Answer 7

You have the equation A(b)=10*(B+7)/2, and you want to get the inverse of this?

Answer 8

Yes

Answer 9

Ok.
Here are the steps

1. solve for b, which means separate all b terms in one side and all other terms at the other side.

2. swap b and A(b)

you get the inverse function!

Answer 10

it would better to show me how you did the math!

Answer 11

@BrightEmmerald
Are you there?

Can we proceed?

Answer 12

\[A(b)=10*\frac{ B+7 }{ 2 }=5(B+7)\]
\[A(b)=5(B+7)\]
\[\frac{ A(b) }{ 5 }=B+7\]
\[\frac{ A(b) }{ 5 }-7=B\]
now you should to swap the variables to find the inverse function:

\[\frac{ B }{ 5 }-7=A(b)\]
\[A(b)=\frac{ B }{ 5 }-7\]
This is what you are looking for!