Question

The cost of renting a car is $ 30 /week plus $ 0.25 /mi travelled during that week. An equation to represent the cost would be y = 30 + 0.25 x , where x is the number of miles. What is your cost if you travel 35 miles? $ If you were charged $ 42.50 , how many miles did you travel? miles Get Help: VIDEO LicensePoints possible: 1

Answer 1

Amount charged for 35 miles is $ 38.75

If amount charged is $ 42.50 then distance travelled is 50 miles

Explanation:

Equation that represents the cost is
`y=30+0.25x`

Here,

x denotes the number of miles

$ 30 is the amount of rent per week

$ 0.25 is amount charged for 1 mi

To find cost if distance travelled is 35 miles, put
`x=35` in
`y=30+0.25x`

Cost (y) =
`30+0.25(35)=\$38.75`

So,

Amount charged for 35 miles is $ 38.75

To find number of miles for which amount charged is $ 42.50, put
`y=42.50` in
`y=30+0.25x`

`42.50=30+0.25x\\42.50-30=0.25x\\12.5=0.25x\\x=(12.5)/(0.25) \\x=50`

So,

if amount charged is $ 42.50 then distance travelled is 50 miles.