Question 1179998
the equation is c = 49.95 * x + 31.95


this is in the form of the straight line equation of y = mx + b
m is the slope.
b is the y-intercept.


in the equation of c = 49.95 * x + 31,95, ....


the slope is 49.95 and the c-intercept is 31.95.


the c-intercept is the cost when x = 0.
this cost is paid regrdless of the number of days the car is rented.


the slope is the incremental cost per day.
for 1 day, it's 49.95
for 2 days, it's 49.95 * 2 = 99.90
for 3 days, it's 49.95 * 3 = 149.85
etc.....


the total cost for 1, 2, 3 days would be that plus 31.95.


for 1 day, it's 45.99 + 31.95 = 77.94
for 2 days, it's 99.90 + 31.95 = 123.93
for 3 days, it's 149.85 + 31.95 = 169.92
etc.....


replace c with y and you can graph the equation as shown below.


<img src = "http://theo.x10hosting.com/2021/050701.jpg">


if you rent the car for 1 week, that's 7 days.


the total cost will be 45.99 * 7 + 31.95 = 353.88.


another calculation similar to this might be:


rent a boat for 99.99 a day plus insurance of 100.00.


let c = the total cost and x be the total number of days.
the equation is c = 99.99 * x + 100.
99.99 is the slope which is the incremental cost per day.
100 is the one time up front cost of 100 for the insurance.