Question

You are going to the fair and have $16 to spend on rides and games. Ride tickets cost $4 and game tickets cost $2. The equation 4x+2y=16 models this situation, where x is the number of ride tickets you buy and y is the number of game tickets you buy.

Answer 1

This is the answer to your question?

Answer 2

a. A graph of the equation is shown in the picture below.

b. The x-intercept shows that you can buy 4 ride tickets and 0 game ticket.

c. The y-intercept shows that you can buy 0 ride ticket and 8 game tickets.

d. Yes, the point (2, 4) is on the graph, and it means that you can buy 2 ride tickets and 4 game tickets.

In Mathematics and Euclidean Geometry, the standard form of the equation of a straight line is given by this mathematical equation;

Ax + By = C

Where:

• A, B, and C represents a constant or numerical value.
• x and y are variables.

Part a.

In this exercise, we would use an online graphing tool to plot the linear relationship between the number of ride tickets and the number of game tickets as shown in the image below.

Part b.

The x-intercept of any graph such as a linear equation, generally occur at the point where the value of "y" equals zero (y = 0). Hence, the x-intercept shows that you can buy 4 ride tickets and 0 game ticket at the fair.

Part c.

The y-intercept of any graph such as a linear equation, generally occur at the point where the value of "x" is equal to zero (x = 0). Hence, the y-intercept indicates that you can buy 0 ride ticket and 8 game tickets at the fair.

Part d.

Yes, the point (2, 4) is located on the graph of this linear equation, and it means that you can buy 2 ride tickets and 4 game tickets.