A contractor bought 8.2 ft^2 of sheet metal. He had used 4.9ft^2 so far and has $ 59.40 worth of sheet metal remaining. The equation 8.2x-4.9x=59.4 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?

Each square foot of metal costs $14.97

Step-by-step explanation:

He initially had 8.2 ft^2 of metal.

He used 4.9ft^2 of metal, then he now has:

8.2 ft^2 - 4.9 ft^2 = 3.3 ft^2

And this 3.3 ft^2 is whort $49.40

Then if X is the cost per square foot, we have the equation:

3.3ft^2*X = $49.40

We can solve it for X as:

X = ($49.40/3.3ft^2) = $14.97  ft^-2

This means that each square foot costs $14.97

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.