Question

For the given word problem, identify the rate of change. Gasoline at a particular gas station costs $2.78 per gallon. If Cory buys $18 of gas, how many gallons did he buy? A. 1 B. $18 C. g D. $2.78

Answer 1

Cory bought 6.47 gallons

rate of change is $2.78 per gallon

Explanation:

cost of gas per gallon = $2.78

it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.

Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.

Let the quantity of gas bought be x gallon.

Total cost for x gallons = cost of gas per gallon*x = 2.78x

Given that total money paid by him is $18

2.78x = 18

x = 18/2.78 = 6.47

Thus, Cory bought 6.47 gallons

rate of change is $2.78 per gallon