Modeling with mathematics

Question

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

Part a.) write and solve an absolute value equation to find the minimum and maximum acceptable soccer ball weights.

Part b.) A soccer ball weighs 423 grams. Due to wear and tear, the weight of the ball decreases by 16 grams. is the wait acceptable? Explain.

Answer 1

Let w = Acceptable Weight of Soccer Ball.

Let <= mean less than or equal to.

a)

|w - 430| <= 20

w - 430 <= ±20

430 - 20 <= w <= 430 + 20

410 <= w <= 450

b)

423 - 16 = 407, which is outside the acceptable limits.