Final answer:
In this problem, the number of miles driven is proportional to the number of gallons of gas used. The constant of proportionality can be found by dividing the total number of miles driven by the total number of gallons of gas used. We can use this constant to write an equation that relates the number of miles driven to the number of gallons of gas used. Finally, we can use this equation to solve for either the number of miles driven or the number of gallons of gas used, depending on the given information.
Step-by-step explanation:
In this problem, the number of miles driven is proportional to the number of gallons of gas used. In mathematics, when two quantities are proportional, they can be related by an equation of the form y = kx, where y represents one quantity, x represents the other quantity, and k is the constant of proportionality.
For this problem:
A) The constant of proportionality is the ratio of miles driven to gallons of gas used, which can be found by dividing the total number of miles driven by the total number of gallons of gas used.
B) To write an equation that relates the number of miles driven (y) to the number of gallons of gas used (x), we can use y = kx, where k is the constant of proportionality found in part A.
C) To find how many miles John would go if he had 22 gallons of gas, we can substitute x = 22 into the equation from part B and solve for y.
D) To find how many gallons of gas John would use if he went 224 miles, we can rearrange the equation in part B to solve for x, substitute y = 224, and solve for x.