An economy car rented in Florida from XYZ Rental on a weekly basis costs $95 per

week. Extra days cost $24 per day until the day rate exceeds the weekly rate, in which
the weekly rate applies. Also, any part of the day used counts as a full day. Find t
he
cost, C, of renting an economy car as a function of the number of x days used, where 7
≤ x ≤ 14. Graph the function.

To find the cost, C, of renting an economy car as a function of the number of x days used, we need to consider the different rates and any special conditions mentioned in the problem.

From the problem, we know that:

- Renting on a weekly basis costs $95 per week.
- Extra days (beyond the weekly rate) cost $24 per day until the day rate exceeds the weekly rate.
- Any part of the day used counts as a full day.

Based on this information, we can set up a piecewise function to represent the cost:

For 7 ≤ x ≤ 14:
C(x) = 95 (if x = 7)
C(x) = 95 + (x - 7) * 24 (if 8 ≤ x ≤ 14)

Let's graph this function to visualize the cost of renting an economy car based on the number of days used.

To create the graph, follow these steps:

1. Set up a coordinate system with the x-axis representing the number of days used (x) and the y-axis representing the cost (C).
2. For x = 7, plot the point (7, 95) on the graph.
3. For each value of x from 8 to 14, calculate the corresponding value of C using the function C(x) = 95 + (x - 7) * 24 and plot the points on the graph.
4. Connect the plotted points with a line segment.

The resulting graph should show the cost of renting an economy car as a function of the number of days used, with the line segment representing the increasing cost for additional days beyond the weekly rate.

Please note that the graph will be a straight line with a slope of 24, starting from (7, 95) and extending to (14, 347).