Question

Kerry travels 125 miles and uses 5 gallons of gasoline. The next week, she travels 175 miles and uses 7 gallons of gasoline. Which best describes the function that can be used to represent m, the number of miles traveled, and g, the number of gallons used?

Answer 1

Step-by-step explanation:

Kerry travels 125 miles and uses 5 gallons of gasoline in one week ∴ The rate = 125 ÷ 5 = 25 miles per gallon ∵ She travels 175 miles and uses 7 gallons of gasoline in next week ∴ The rate = 175 ÷ 7 = 25 miles per hour - That means the rate is constant ∴ The relation between the number of miles and the number of gallons used is linear - The linear relation is y = k x, where k is the constant of relation ∵ m is the number of miles ∵ g is the number of gallons ∵ 25 is the constant rate ∴ m = 25 g