Question

The cost of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200. The equation that represents this situation is 7x + 4y = 11,200, what is the y-intercept of the graph and what does it represent?A. The y-intercept is 1,600. This tells us that only student's attended the high school football game.B. The y-intercept is 1,600. This tells us that none of the student's attended the high school football game.C. The y-intercept is 2,800. This tells us that none of the student's attended the high school football game.D. The y-intercept is 2,800. This tells us that only student's attended the high school football game.

Answer 1

Given:

The equation that represents the given situation is

`7x+4y=11200.`

Required:

We need to find the y-intercept of the given function.

Step-by-step explanation:

The y-intercept is the intersection point where the line crosses the y-axis.

Substitute x =0 in the equation to find the y-intercept.

`7(0)+4y=11200.`

`4y=11200.`

Divide both sides by 4.

`(4y)/(4)=(11200)/(4)`

`y=2800.`

The y-intercept is 2,800.

We know that x represents the cost of general admission and y represents the student tickets to a high school football.

We get y =2800.

This tells us that only student's attended the high school football game.​

Final answer:

The y-intercept is 2,800. This tells us that only student's attended the high school football game.​