Question

The recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams.

a. Write and solve an absolute value equation to find the minimum and maximum acceptable soccer ball weights. Use x
as the variable.
The recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams.

a. Write and solve an absolute value equation to find the minimum and maximum acceptable soccer ball weights. Use x
as the variable.

Answer 1

The required absolute equation is: |x-430|=20

The minimum and maximum acceptable soccer ball weights is 410 grams and 450 grams respectively.

Explanation:

Consider the provided information.

The recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams.

Let x is the actual weight of the soccer ball.

The difference of actual weight and recommended weight can vary by 20 grams.

Thus, the required absolute equation is:

|x-430|=20

x-430=20 or x-430=-20

x=450 or x=410

The minimum and maximum acceptable soccer ball weights is 410 grams and 450 grams respectively.

Answer 2

For this problem, let's assign variable x to the value of the actual weight. The recommended weight is the central value of the range. So, the variation must be 20 grams below and above the recommended weight. The equation would be:

Actual weight = |Recommended weight +/- 20|
x = |430 +/- 20|