Use the information below to answer Question 2 Parts a - c.

You plan to attend the State Fair next year. You will spend $14 on admission to enter the fair plus $2 for each ride you go on.

Graph your equation from Question 1 Part f that represents the total amount of money you will spend at the fair in relation to the number of rides you will go on.

A: What are you being told to do?
B: Explain how you can use slope and y-intercept to graph your equation.
C: Graph this equation, y=2x+14 that represents the total amount of money you will spend at the fair in relation to the number of rides you will go. Use the coordinate plane below

1 answer

A: You are being told to graph the equation y=2x+14 that represents the total amount of money you will spend at the fair in relation to the number of rides you will go on.

B: You can use slope and y-intercept to graph the equation. In this equation, the coefficient of x (2) represents the rate at which the cost increases per ride. This gives you the slope of the line. The y-intercept in this equation is 14, which represents the initial cost when you haven't gone on any rides yet.

C: Using the coordinate plane below, we will graph the equation y=2x+14.

| .
14 | .
| .
| .
| .
| .
| .
| .
| .
| .
___________________
0 1 2 3

To graph this equation, start by plotting the y-intercept at the point (0,14) on the y-axis. Then, use the slope (2) to find additional points on the line.

For example, when x=1: y=2(1)+14 = 2+14 = 16, so another point on the line is (1,16).

You can continue finding additional points by substituting different values of x into the equation.

Once you have enough points, connect them to form a straight line.
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