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)
A. The parking fee rises by $10 with each additional hour.
B. The parking fee rises by $7.33 with each additional hour.
C. The parking fee rises by $6 with each additional hour.
D. The parking fee rises by $8 with each additional hour.
B. The parking fee rises by $7.33 with each additional hour.
To find the slope (rate of change), we use the formula:
slope = (change in y)/(change in x)
where y represents the parking fee in dollars and x represents the hours parked.
Thus,
slope = (44-20)/(6-2) = 24/4 = 6
This means that for each additional hour parked, the parking fee increases by $6. Therefore, the answer is C.
Is it B or C
I apologize for the mistake in my previous response. The correct answer is C. The parking fee rises by $6 with each additional hour, as determined by the slope of the linear graph. Thank you for bringing this to my attention.
To interpret the slope of the linear graph as the rate of change in the parking fee for each additional hour of parking, we need to find the slope of the line passing through the two given points.
The slope of a line is calculated using the formula: slope = (change in y)/(change in x).
In this case, the change in y (parking fee) is given by 44 - 20 = 24 (dollars), and the change in x (hours parked) is given by 6 - 2 = 4 (hours).
So, the slope of the line is 24/4 = 6 (dollars per hour).
Therefore, the correct interpretation of the slope is:
C. The parking fee rises by $6 with each additional hour.
To interpret the slope of the linear graph as the rate of change in the parking fee for each additional hour of parking, we need to calculate the slope using the given points (2, 20) and (6, 44).
The slope formula is given by: slope = (change in y) / (change in x)
Let's calculate the slope:
Change in y = 44 - 20 = 24
Change in x = 6 - 2 = 4
Slope = 24 / 4 = 6
Therefore, the slope of the graph represents that the parking fee rises by $6 with each additional hour of parking, and the correct answer is C. The parking fee rises by $6 with each additional hour.