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?(1 point)
Responses
The parking fee rises by $10 with each additional hour.
The parking fee rises by $10 with each additional hour.
The parking fee rises by $6 with each additional hour.
The parking fee rises by $6 with each additional hour.
The parking fee rises by $8 with each additional hour.
The parking fee rises by $8 with each additional hour.
The parking fee rises by $7.33 with each additional hour.
The parking fee rises by $7.33 with each additional hour.
The correct interpretation is: The parking fee rises by $6 with each additional hour.
The correct interpretation of the slope of the graph is: The parking fee rises by $6 with each additional hour.
To interpret the slope of the graph, we can use the formula for slope:
slope = (change in y)/(change in x)
In this case, the change in y is the change in the parking fee and the change in x is the change in hours parked. Let's calculate the slope using the given points:
slope = (44 - 20)/(6 - 2)
= 24/4
= 6
So, the slope of the graph is 6. This means that for each additional hour parked, the parking fee rises by $6. Therefore, the correct interpretation is:
The parking fee rises by $6 with each additional hour.