Question

Which function graph represents the following scenario?

The number of students per classroom can be represented by the equation y = 22x.

Question 9 options:

Answer 1

The third graph

Explanation:

We can immediately eliminate the 1st and last graphs because they are decreasing, not increasing. It wouldn't make sense that the more classrooms there are, the fewer students. Y = 22x would be increasing in the graph.

Let's plug some x values into the equation first, to see where our points are at.

Plug 1 into x

Y = 22(1)

Y= 22

(1,22)

Plug 2 into x

Y = 22(2)

Y = 44

(2,44)

Plug 3 into x

Y = 22(3)

Y = 66

(3,66)

Plug 4 into x

Y = 22(4)

Y = 88

(4,88)

The second graph matches the coordinates, so it works, but it isn't a complete function graph. A function graph needs a line drawn through the points. The second graph isn't your answer.

Let's look at the third graph. The coordinates also match up with the graph and it has a line drawn through the points. It's an accurate function graph representing this scenario. Therefore, the third graph is your answer.

Have a lovely day! :)