a high school coach wants to buy new shirts for the 25 members of the track team. the coach must spend less…

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? select three options. 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.

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? select three options. 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.

Answer

Explanation:

Step1: Set - up the inequality

There are 25 members and the coach can spend less than $300. If the cost per shirt is $s$, then the total cost for 25 shirts is $25s$. Since the total cost must be less than 300, the inequality is $25s<300$.

Step2: Analyze the graph of the inequality

The inequality $25s < 300$ is a strict - less - than inequality. When graphing a strict inequality like $x < a$ (in our case $s<\frac{300}{25}=12$), the circle on the number line at the value of the boundary point (12 in this case) is open. Also, since $s$ is less than 12, the arrow on the number - line graph points to the left.

Answer:

The inequality should be written as $25s < 300$. The circle is open. The arrow points left.