Question

There is a daily fee for renting a moving truck, plus a charge of $.50 per mile driven. It cost 64 to rent a truck on a day when it is driven 48 miles. Write the point slope form of an equation to find the total charge y For a one day rental with x miles and driven.

Answer 1

The charge for travelling x miles is $1.833 x .

Explanation:

Given as :

There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven.

Total cost for rent the truck = $64

Total distance cover by truck = 48 miles

∵ For travelling 48 miles, total cost = $64 + $0.50 per miles

i,e For travelling 48 miles, total cost = $64 + $0.50 × 48 miles

Or, For travelling 48 miles, total cost = $64 + $24

∴For travelling 48 miles, total cost = $88

Let the cost for travelling x miles = $y

∵ For travelling 48 miles, total cost = $88

So, For travelling 1 mile, total cost =
`(88)/(48)`

∴ For travelling x miles, total cost =
`(88)/(48)` × x

Or, y =
`(11)/(6)` × x

Or, y = 1.833 × x

So, The cost for travelling x miles = y = $1.833 x

Hence, The charge for travelling x miles is $1.833 x . Answer