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.

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EziahH382044 EziahH382044 · Answer 1 · 2022-11-03T10:06:26+01:00

Given:

The equation that represents the given situation is

[tex]7x+4y=11200.[/tex]

Required:

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

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.

[tex]7(0)+4y=11200.[/tex]

[tex]4y=11200.[/tex]

Divide both sides by 4.

[tex]\frac{4y}{4}=\frac{11200}{4}[/tex]

[tex]y=2800.[/tex]

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.