Question

Suppose that the distance of a car travels varies directly with the amount of gasoline it uses. A certain car uses 19 gallons of gasoline to travel 570 miles. How many miles can the car travel if it has 29 gallons of gasoline?

Help due! A S A P

Answer 1

870 miles

Explanation:

You want to know the number of miles that a car can travel on 29 gallons of gas if it travels 570 miles on 19 gallons, and the miles are proportional to the gallons.

Proportion

Increasing the number of gallons by a factor of 29/19 will increase the number of miles by that same factor. The car will be able to travel ...

(29/19)(570) = 870 . . . . miles

The car can travel 870 miles if it has 29 gallons of gas.

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Additional comment

We could do this solving the equation ...

(570 mi)/(19 gal) = (x mi)/(29 gal)

Multiplying by 29 gal gives ...

x = (29/19)(570) = 870 . . . . . as above

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