Sample Problem

A ski shop carries skis that are between 150 and 220 cm long. They recommend that the skis be 1.25 longer than your height. Calculate the tallest height that a person can be and still rent skis from here by writing an inequality to model this situation



Since the skis must be 1.25 longer than a person is tall, we know that the shortest person there who has a height of h can be represented by h × 1.25 = 150; h = 120 cm. The tallest person that can go there is h × 1.25 = 220: h = 176. The inequality for this situation is 120 ≤ h ≤ 176,  so the tallest person at this ski resort can be           176 cm tall.