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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

Respuesta :

MrRoyal

Answer:

a. [tex]Total\ Cost = \$2667[/tex]

b. [tex]Total\ Cost = \$667[/tex]

Explanation:

(a)

Given

[tex]Distance = 10000\ miles[/tex]

[tex]Rate = 15\ miles/gallon[/tex]

[tex]Price = \$4.00/gallon[/tex]

Required

Determine the total amount spent in a year

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

[tex]Total\ Gallons = Distance/Rate[/tex]

[tex]Total\ Gallons = 10000miles /\frac{15miles}{gallon}[/tex]

[tex]Total\ Gallons = 10000miles * \frac{1\ gallon}{15\ miles}[/tex]

[tex]Total\ Gallons = 10000 * \frac{1\ gallon}{15}[/tex]

[tex]Total\ Gallons = \frac{10000\ gallons}{15}[/tex]

[tex]Total\ Gallons = \frac{10000}{15}\ gallons[/tex]

Next, is to determine the total cost:

[tex]Total\ Cost = Total\ Gallons * Price[/tex]

[tex]Total\ Cost = \frac{10000}{15}\ gallon * \frac{\$4}{gallon}[/tex]

[tex]Total\ Cost = \frac{10000}{15} * \$4[/tex]

[tex]Total\ Cost = \frac{10000 * \$4}{15}[/tex]

[tex]Total\ Cost = \frac{\$40000}{15}[/tex]

[tex]Total\ Cost = $2666.66666667[/tex]

[tex]Total\ Cost = \$2667[/tex] (approximated)

(b)

Given

[tex]Rate = 60\ miles/gallon[/tex]

Required

Determine the total amount spent in a year

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

[tex]Total\ Gallons = Distance/Rate[/tex]

[tex]Total\ Gallons = 10000miles /\frac{60\ miles}{gallon}[/tex]

[tex]Total\ Gallons = 10000miles * \frac{1\ gallon}{60\ miles}[/tex]

[tex]Total\ Gallons = 10000 * \frac{1\ gallon}{60}[/tex]

[tex]Total\ Gallons = \frac{10000\ gallons}{60}[/tex]

[tex]Total\ Gallons = \frac{10000}{60}\ gallons[/tex]

Next, is to determine the total cost:

[tex]Total\ Cost = Total\ Gallons * Price[/tex]

[tex]Total\ Cost = \frac{10000}{60}\ gallon * \frac{\$4}{gallon}[/tex]

[tex]Total\ Cost = \frac{10000}{60} * \$4[/tex]

[tex]Total\ Cost = \frac{10000 * \$4}{60}[/tex]

[tex]Total\ Cost = \frac{\$40000}{60}[/tex]

[tex]Total\ Cost = \$666.666666667[/tex]

[tex]Total\ Cost = \$667[/tex] (approximated)

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