Question

A bus is traveling at a speed of 60 miles per hour on a freeway. The bus uses 1 gallon of gas for every 5 miles it travels. If the price of gas

is $4.00 per gallon, which equation represents the cost of the gas, c, when the bus travels h hours on the freeway?

Answer 1

The cost of the gas, c, when the bus travels h hours on the freeway is represented by the equation c = 48 * h, given that the bus travels at 60 miles per hour, uses 1 gallon per 5 miles, and the price of gas is $4.00 per gallon.

Step-by-step explanation:

To find the equation that represents the cost of the gas, c, when the bus travels h hours on the freeway, we need to determine how many miles the bus travels in h hours and how much gas it uses, given the bus's fuel efficiency and the price of gas.

Since the bus travels at a speed of 60 miles per hour, in h hours, the bus will travel 60 times h miles (60 * h).

Now, considering the bus's fuel efficiency, it uses 1 gallon of gas for every 5 miles.

Thus, to calculate the number of gallons used in h hours, we divide the total miles by the bus's fuel efficiency: (60 * h) / 5 gallons.

Finally, the cost of gas, c, is calculated by multiplying the number of gallons used by the price per gallon.

The price of gas is $4.00 per gallon.

Therefore, the equation representing the cost of the gas is:

c = (60 * h / 5) * 4

Which simplifies to:

c = (12 * h) * 4

Or:

c = 48 * h