Question

A moving-van rental company uses the polynomial 130 + 0.75(m - 200) to calculate the rental charges if acustomer drives a van more than 200 miles in one day. In the polynomial, m is the total number of miles that thecustomer drove the van during the day. Use the Distributive Property to write an equivalent expression for thetotal cost of renting the van and driving it more than 200 miles in one day.O 0.75m - 20O 0.75m - 70O 0.75m + 280O 0.75m - 150

Answer 1

0.75m - 20

Step-by-step explanation:

Given the below polynomial;

`130+0.75\mleft(m-200\mright)`

To determine an equivalent expression using the Distributive Property, we have to use 0.75 that is outside the parentheses to multiply each of the terms inside the parentheses as seen below;

`\begin{gathered} =130+0.75* m+0.75*(-200) \\ \end{gathered}`
`\begin{gathered} =130+0.75m-150 \\ =0.75m+130-150 \\ =0.75m-20 \end{gathered}`