Question

Persevere with Problems William is 3 feet 1 inch tall and would like to ride a roller coaster. Riders must be at least 42 inches tall to ride the coaster. Write an addition inequality to determine how much taller William must be to ride the coaster. Let x be the variable representing how much taller William must be.

Answer 1

Explanation:

1 ft = 12 in

he is 3 ft 1 in, that is then 3×12 + 1 = 37 in tall.

so,

37 + x >= 42

and then

x >= 42 - 37

x >= 5 in

Answer 2

37 +x ≥ 42

Explanation:

You want an addition inequality representing the amount (x) William must be taller if he is 3 ft 1 in and wants to ride a ride for which riders must be at least 42 inches tall.

Additional amount

The inequality will be of the form ...

current height + additional height ≥ height requirement

There are 12 inches in 1 foot, so William's height of 3 ft 1 in corresponds to 3·12 +1 = 37 inches. This lets us write the inequality in inches as ...

37 +x ≥ 42

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