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The cost of hiring a car is a fixed charge of $35 plus $15 per day. Write a function to show the cost in dollars (y) of hiring a car for d days. Copy and complete this table of values. d-0,1,2,3,5,8 y-35,50,65,80,110,155 Use the table to plot a graph of the function. Use the graph to find the cost of hiring a car for 7 days. Use the function to check that your answer is correct. How does the graph show the fixed charge?​

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A function to show the cost in dollars (y) of hiring a car for d days is y = 15d + 35.

The table of values should be completed as shown below.

A graph of the function is shown in the image below.

The cost of hiring a car for 7 days is $140.

The fixed charge represents the y-intercept of the graph.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

  • m represents the slope or rate of change.
  • x and y are the points.
  • c represents the y-intercept or initial value.

Based on the information provided about this puppy, we have the following slope and y-intercept;

Slope, m = $15 (cost per day).

y-intercept, c = $35 (fixed charge).

By substituting these parameters, an equation that models the cost of hiring a car for d days is given by;

y = mx + c

y = 15d + 35

The table of values should be completed as follows;

d function rule y ($)

0 y = 15(0) + 35 35

1 y = 15(1) + 35 50

2 y = 15(2) + 35 65

3 y = 15(3) + 35 80

4 y = 15(4) + 35 95

5 y = 15(5) + 35 110

8 y = 15(8) + 35 155

When d is 7, the cost of hire is given by;

y = 15(7) + 35

y = $140

In conclusion, we can logically deduce that the fixed charge represents the y-intercept (0, 35) of the graph.

The cost of hiring a car is a fixed charge of $35 plus $15 per day. Write a function-example-1
User Oschlueter
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