Question

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

Answer 1

`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.