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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

Respuesta :

danielmaduroh

Answer:

[tex]A. \ h(x)=6x+13[/tex]

Step-by-step explanation:

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

[tex]f(x)+g(x)[/tex]

Where:

  • [tex]f(x)[/tex] represents the number of students selected from university A
  • [tex]g(x)[/tex] represents the number of students selected from university B
  • [tex]x[/tex] represents the number of days of the fair.

So:

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

[tex]h(x)=(4x+2x)+(8+5) \\ \\ Solving: \\ \\ h(x)=6x+13[/tex]

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

Ver imagen danielmaduroh

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