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Graph the solution to the following linear inequality in the coordinate plane.

A company is selecting students for interviews at the career fair. The number of students selected from university A is given by f(x) = 4x + 5, where x represents the number of days of the fair. The number of students selected from university B is given by g(x) = 2x + 8.

Which function best describes the total number of students selected at the career fair?

A.
h(x) = 6x + 13
B.
h(x) = (4x + 5)(2x + 8)
C.
h(x) = 2x - 3
D.
h(x) = -2x + 3

User Hitch
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1 Answer

6 votes

Answer:


A. \ h(x)=6x+13

Explanation:

The total number of students selected from both universities can be found as:


f(x)+g(x)

Where:


  • f(x) represents the number of students selected from university A

  • g(x) represents the number of students selected from university B

  • x represents the number of days of the fair.

So:


h(x)=f(x)+g(x) \\ \\ h(x)=(4x+5)+(2x+8) grouping terms:


h(x)=(4x+2x)+(8+5) \\ \\ Solving: \\ \\ h(x)=6x+13

The graph of the function is shown below and you can realize that the solution is a linear equation.

Graph the solution to the following linear inequality in the coordinate plane. A company-example-1
User Bartosz Pelikan
by
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