A linear graph of parking fees in dollars based on hours parked ahas 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.The parking fee rises by $10 with each additional hour
2. parking fee rises by 6 with each additional hour
3. the parking fee rises by 7.33 with each additional hour
4. the parking fee rises by $8 with each additional hour
The correct interpretation would be option 4: The parking fee rises by $8 with each additional hour.
To find the slope of the graph, we can use the formula:
slope = (change in y) / (change in x)
Given the points (2,20) and (6,44), we can calculate the change in y and change in x as follows:
change in y = 44 - 20 = 24
change in x = 6 - 2 = 4
Substituting these values into the slope formula:
slope = 24 / 4 = 6
This means that for each additional hour of parking, the parking fee increases by $6. Therefore, option 4 is the correct interpretation.