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 xx as the variable.

Answer 1

Answer: |x-430|≤20

Explanation:

Let's call x₀=430grams and let's call δ= 20grams. So x₀

is the recommended weight but it is allowed to vary + or - 20 grams. We can see it as an interval of real numbers whose center is 430 and whose ratio is 20.

If we solve this inequation we will obtain -20≤ x-430≤20.

If we add both sides 430, we will obtain -20+430≤x≤430+20.

This will be mean that the weight vary from 410grams to 450 grams.