Question

When it comes to reimbursement packages, company A offers $205 plus$0.55 per mile. Company B offers $220 plus $0.45 per mile. What number ofmiles driven would make the two reimbursement packages equal?oA. 325B. 250C. 150Ο ΟO OD. 225

Answer 1

the number of miles is 150

Step-by-step explanation

Step 1

set the equations

Company A

company A offers $205 plus

$0.55 per mile

Let

x, number of miles

then

reimbursement A= 205+0.55x

`A=205+0.55x`

Step 2

set the equations

Company B

company B offers $220 plus

$0.45 per mile

Let

x, number of miles

then

reimbursement B= 220+0.45x

Step 3

if the 2 reimbursements are equal, then

`\begin{gathered} A=B \\ \text{replace} \\ 205+0.55x=220+0.45x \\ \end{gathered}`

Step 4

solve for x

`\begin{gathered} 205+0.55x=220+0.45x \\ 0.55x-0.45x=220-205 \\ 0.1x=15 \\ x=(15)/(0.1) \\ x=150 \end{gathered}`