Question

Question Help allenge A family wants to rent a car to go on vacation. Company A charges $70.50 and $0.15 per mile. Company B charges $45.50 and 10¢ per mile. How much more does Company A rge for x miles than Company B? x miles, Company A charges dollars more than Company B. plify your answer. Use integers or decimals for any numbers in the expression.) your answer in the answer box and then click Check Answer. Clear All Check Answer ts showing Question 7 Review progress of 12 Next Back

Answer 1

Let x be the number of miles the family travel.

We know that company A charges a fee of $70.50 plus $0.15 per mile, then the total cost in company A is:

`0.15x+70.50`

Now, company B charges a fee of $45.50 plus $0.10 per mile, then the total cost in company B is:

`0.10x+45.50`

To find how much more does A charges, we substract the expression B to the expression A, then:

`\begin{gathered} (0.15x+70.50)-(\text{0}.10x+45.50)=0.15x+70.50-0.10x-45.50 \\ =0.05x+25 \end{gathered}`

Therefore company A charges

`0.05x+25.00`

more for x miles.