Question

A bowling alley charges an hourly rate to rent a bowling lane and a field amount to rent bowling shoes. The equation c=20h 5 represents this situation, where h is the number of hours a bowling lane is rented and c is the total cost to bowl. Which statement is true of the slope and y-intercept?

Answer 1

The slope of the equation is 20 and the y-intercept is 5.
The slope is positive and the y-intercept is positive.

Explanation:

The slope of a linear equation represents the rate of change of the y-variable with respect to the x-variable. In this case, the slope represents the rate of change of the cost of bowling (c) with respect to the number of hours a bowling lane is rented (h). The slope is positive, which means that the cost of bowling increases as the number of hours a bowling lane is rented increases.

The y-intercept of a linear equation represents the value of the y-variable when the x-variable is zero. In this case, the y-intercept represents the cost of bowling when zero hours of bowling lane rental are purchased. The y-intercept is positive, which means that there is a fixed cost associated with bowling, even if no hours of bowling lane rental are purchased.

Therefore, the statement that is true of the slope and y-intercept is:

The slope is positive and the y-intercept is positive.