Question

A moving-van rental company uses the polynomial 84 + 0.45(m - 240) to calculate the rental charges if acustomer drives a van more than 240 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 240 miles in one day.O 0.45m - 108O 0.45m - 156O 0.45m + 1920 0.45m - 24

Answer 1

The given polynomial is

$84+0.45(m-240)$

Using distributive property

It states that

$a(b+c)=ab+ac$

The polynomial becomes

$84+0.45(m-240)=84+0.45m-0.45(240)$

Simplify the polynomial

$\begin{gathered} 84+0.45(m-240)=84+0.45m-108 \\ 84+0.45(m-240)=0.45m+84-108 \end{gathered}$

This gives

$84+0.45(m-240)=0.45m-24$

Therefore, the equivalent expression of the polynomial is

$0.45m-24$