A linear graph of parking fees in dollars based on hours parked has the points (2,20) and (6,44) . How would you interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking?

Question

The parking fee rises by $8 with each additional hour.

The parking fee rises by $6 with each additional hour

The parking fee rises by $7.33 with each additional hour.

The parking fee rises by $10 with each additional hour.

Answer 1

The correct interpretation is: The parking fee rises by $6 with each additional hour.

This can be calculated by finding the slope of the line passing through the points (2,20) and (6,44). The slope formula is (y2 - y1) / (x2 - x1), where (x1, y1) = (2,20) and (x2, y2) = (6,44).

Slope = (44 - 20) / (6 - 2) = 24 / 4 = 6

Therefore, the slope of the graph represents the rate of change in the parking fee for each additional hour of parking, which is $6.