The function y is equal to 60 over x relates y , the time in hours that it takes Michael to travel to his grandparents’ house, to x , his average speed in miles per hour. What does the number 60 in the function represent?
Answer
A
the distance, in miles, that must be traveled to get to Michael’s grandparents’ house
B
the fuel, in gallons, that is used to get to Michael’s grandparents’ house
C
the rate, in miles per hour, that Michael travels to get to his grandparents’ house
D
the time, in hours, that it takes to get to Michael’s grandparents’ house
Explanation
For travel, distance equals speed multiplied by time. Since y is the time and x is the speed, the equation y = 60/x can be rearranged to xy = 60, so 60 represents the distance traveled in miles. Therefore, choice A is correct: the distance to Michael’s grandparents’ house.
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