Question

A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Check all that apply
The inequality should be written as 25s <300
The inequality should be written as 25s >300
The circle is open.
The circle is closed.
The arrow points left.
The arrow points right.

Answer 1

The inequality should be written as 25s <300

The circle is open.

The arrow points left.

Answer 2

Answer:

The correct options are 1, 3 and 5.

Step-by-step explanation:

Let the price of a new shirts be s.

The number of members is 25. The price of 25 shirts is 25s.

The cost must be less than $300. It means

$25s$

Therefore option 1 is correct.

Divide both sides by 25.

$s$

The sign of inequality is < instead of ≤. It means the 12 is not included in the solution set.

Open circle is used for "<" and ">". Closed circle is used for "≤" and "≥".

Since the sign of inequality is <, therefore the circle is open and option 3 is correct.

$s$

The value of s is less than 12.

Therefore the arrow points left and option 5 is correct.