Question

How much would you spend on gasoline each year if you drove 10,000 miles over the year and your vehicle achieves 15 miles per gallon with gasoline prices at $4.00 a gallon? Now substitute your vehicle with a hybrid-electric automobile that achieves 60 miles per gallon. Calculate the yearly cost for fuel with this vehicle

Answer 1

a.
`Total\ Cost = \$2667`

b.
`Total\ Cost = \$667`

Step-by-step explanation:

(a)

Given

`Distance = 10000\ miles`

`Rate = 15\ miles/gallon`

`Price = \$4.00/gallon`

Required

Determine the total amount spent in a year

First, we need to determine the number of gallons used in a year;

`Total\ Gallons = Distance/Rate`

`Total\ Gallons = 10000miles /(15miles)/(gallon)`

`Total\ Gallons = 10000miles * (1\ gallon)/(15\ miles)`

`Total\ Gallons = 10000 * (1\ gallon)/(15)`

`Total\ Gallons = (10000\ gallons)/(15)`

`Total\ Gallons = (10000)/(15)\ gallons`

Next, is to determine the total cost:

`Total\ Cost = Total\ Gallons * Price`

`Total\ Cost = (10000)/(15)\ gallon * (\$4)/(gallon)`

`Total\ Cost = (10000)/(15) * \$4`

`Total\ Cost = (10000 * \$4)/(15)`

`Total\ Cost = (\$40000)/(15)`

`Total\ Cost = $2666.66666667`

`Total\ Cost = \$2667` (approximated)

(b)

Given

`Rate = 60\ miles/gallon`

Required

Determine the total amount spent in a year

First, we need to determine the number of gallons used in a year;

`Total\ Gallons = Distance/Rate`

`Total\ Gallons = 10000miles /(60\ miles)/(gallon)`

`Total\ Gallons = 10000miles * (1\ gallon)/(60\ miles)`

`Total\ Gallons = 10000 * (1\ gallon)/(60)`

`Total\ Gallons = (10000\ gallons)/(60)`

`Total\ Gallons = (10000)/(60)\ gallons`

Next, is to determine the total cost:

`Total\ Cost = Total\ Gallons * Price`

`Total\ Cost = (10000)/(60)\ gallon * (\$4)/(gallon)`

`Total\ Cost = (10000)/(60) * \$4`

`Total\ Cost = (10000 * \$4)/(60)`

`Total\ Cost = (\$40000)/(60)`

`Total\ Cost = \$666.666666667`

`Total\ Cost = \$667` (approximated)