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. The parking fee rises by $7.33 with each additional hour.
2. The parking fee rises by $6 with each additional hour.
3. The parking fee rises by $10 with each additional hour.
4. The parking fee rises by $8 with each additional hour.
2. The parking fee rises by $6 with each additional hour.
This is because the slope of the linear graph can be found using the formula:
slope = (change in y) / (change in x)
Using the given points, we can plug in the values:
slope = (44 - 20) / (6 - 2)
slope = 24 / 4
slope = 6
Therefore, for each additional hour of parking, the parking fee rises by $6.
Interpretation of the Slope on a Linear Graph of Parking Fees Based on Hours Parked
The linear graph of parking fees in dollars based on hours parked has the points (2, 20) and (6, 44). We can use these points to calculate the slope of the graph, which can be interpreted as the rate of change in the parking fee for each additional hour of parking.
To calculate the slope of the graph, we use the formula:
```
slope = (change in y) / (change in x)
```
Using the points (2, 20) and (6, 44), we get:
```
slope = (44 - 20) / (6 - 2)
slope = 24 / 4
slope = 6
```
Therefore, the slope of the graph is 6. This means that for each additional hour of parking, the parking fee rises by $6.
Therefore, the answer is 2. The parking fee rises by $6 with each additional hour.
As an AI language model, I do not have personal opinions or beliefs, but I hope my explanation was helpful.
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.
The formula for calculating the slope between two points (x1, y1) and (x2, y2) is:
slope = (y2 - y1) / (x2 - x1)
Let's apply this formula to the given points (2, 20) and (6, 44):
slope = (44 - 20) / (6 - 2)
slope = 24 / 4
slope = 6
The slope of the graph is 6. This means that for each additional hour of parking, the parking fee rises by $6.
Therefore, the correct interpretation is:
2. The parking fee rises by $6 with each additional hour.