Question

Mr. Nelson is checking some of the school's sport balls to make sure they are in good shape and

properly inflated. Use the table of recommended air pressures to define the ranges for properly inflated
balls.
Ball
Average recommended psi Tolerance
(pounds per square inch)
Soccer ball 12.05
+3.55
Basketball 8.00
+0.5
I
Volleyball
4.44
+0.18
Part I: Write an absolute value inequality for the recommended air pressure range for each type of ball.
Use the variable x for the ball's actual air pressure. (3 points)

Answer 1

Explanation:

This is what I got!

Part I:

Soccer ball: | x – 12.05 | ≤ 3.55

Basketball: | x – 8 | ≤ 0.5

Volleyball: | x – 4.44 | ≤ 0.18

Part II:

Basketball: | x – 8 | > 0.5

Part III:

Basketball:

| x – 8 | ≤ 0.5

x – 8 ≤ 0.5

x ≤ 8.5

x – 8 ≥ 0.5

x ≥ 7.5

7.5 ≤ x ≤ 8.5

Answer 2

Explanation:

Hello!

The variable of interest is

X: air pressures of properly inflated sports balls.

Average recommended psi Tolerance

(pounds per square inch)

Soccer ball 12.05 ±3.55

Basketball 8.00 ±0.5

Volleyball 4.44 ±0.18

Each recommendation is expressed like the "average air pressure" ± "standard deviation of the recommended air pressure" so if you express it in inequality it will be:

X[bar]-S ≤ X ≤ X[bar]+S

So for each ball type, you can write it as:

Soccer ball

12.05-3.55 ≤ X ≤ 12.05+3.55

8.5 ≤ X ≤ 15.6

Basketball

8.00-0.5 ≤ X ≤ 8.00+0.5

7.5 ≤ X ≤ 8.5

Volleyball

4.44-0.18 ≤ X ≤ 4.44+0.18

4.26 ≤ X ≤ 4.62

I hope this helps!