Question

Tim’s mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of unleaded gasoline. What is the constant of proportionality that relates the cost in dollars, y, to the number of gallons of unleaded gasoline, x?

A. $3.20/gallon
B. $3.10/gallon
C. $3.00/gallon
D. $2.90/gallon

Answer 1

The constant of proportionality that relates the cost in dollars to the number of gallons of unleaded gasoline is $3.20 per gallon, corresponding to option A.

Step-by-step explanation:

The student has asked for the constant of proportionality that relates the cost in dollars, y, to the number of gallons of unleaded gasoline, x. To find this constant, we divide the total cost by the total number of gallons of gasoline to find the price per gallon.

The calculation is:

Cost per gallon = Total cost ÷ Total gallons

Cost per gallon = $72.00 ÷ 22.5 gallons

Cost per gallon = $3.20

Therefore, the constant of proportionality is $3.20 per gallon which corresponds to option A.