Question

Reserved tickets for the football game cost $20 each and general admission cost $12 each. The total ticket sales brought in $900. The equation below can be used to find out how many of each type of ticket were sold, where x is the number of reserved tickets and y is the number of general admission tickets.

20x + 12y = 900

Which of the following graphs shows the graph of this equation?

Answer 1

A

Explanation:

20x +12y= 900

Let's start by finding the y-intercept.

When x= 0,

20(0) +12y= 900

12y= 900

y= 900 ÷12

y= 75

The y-intercept is thus at point (0, 75).

This means that the graph would pass through the vertical axis at the point (0, 75). Looking at the provided graphs, the answer could either be option A or C as they have the point (0, 75) as the y-intercept. The y-intercept for both options B and D is (0, 45) and thus they are incorrect.

Now, let's find the x-intercept.

When y= 0,

20x +12(0)= 900

20x= 900

x= 900 ÷20

x= 45

Thus, the x-intercept is (45, 0). Since the x- intercept of the graph in option A is also (45, 0), option A is correct.

The y-intercept of graphs B, C and D are (75, 0), (60, 0) and about (28, 0) respectively.