A fair charge an admission fee of $6 for each person. Let C be the cost of admission (in dollars) for P people. Write an equation relating C to P. Then graph your equation using axes

Question

A fair charge an admission fee of $6 for each person. Let C be the cost of admission (in dollars) for P people. Write an equation relating C to P. Then graph your equation using axes

Answer 1

To write an equation relating the cost of admission, C, to the number of people, P, you can use the information given: the fair charges an admission fee of $6 for each person.

Since each person is being charged $6, the equation can be written as:
C = 6P

Now, to graph this equation, we can use a coordinate plane.

1. Choose a range for the number of people, P, on the x-axis. For example, if you want to plot values from 0 to 10 people, you can mark those values on the x-axis.

2. Substitute the values of P into the equation C = 6P to find the corresponding values of C (the cost of admission). For example, if P = 0, C = 6(0) = 0, so the point (0, 0) will be on the graph. Similarly, if P = 1, C = 6(1) = 6, so the point (1, 6) will be on the graph.

3. Plot the points (P, C) on the graph, connecting them to create a line.

Here is an example graph:

|
8 | . . . . . . . . . . . .
6 |
4 |
2 |
___________________________________
0 2 4 6 8
Number of People (P)

In this example, the graph forms a straight line with a positive slope, indicating that as the number of people increase, the cost of admission also increases proportionally.

Answer 2

To write an equation relating C (cost of admission) to P (number of people), we can use the formula:

C = 6P

This equation states that the cost of admission (C) is equal to $6 multiplied by the number of people (P).

To graph this equation, we will plot points on a graph where the x-axis represents the number of people (P), and the y-axis represents the cost of admission (C). We can choose various values for P and calculate the corresponding values for C using the equation.

Let's choose a few values for P and calculate the corresponding values for C:

For P = 1:
C = 6(1) = 6

For P = 2:
C = 6(2) = 12

For P = 3:
C = 6(3) = 18

For P = 4:
C = 6(4) = 24

Now, we can plot these points on the graph:

P | C
-------
1 | 6
2 | 12
3 | 18
4 | 24

Using these points, we can plot them on the graph and connect them to form a straight line.