Question

The bottom of Ignacio's desktop is

74.5 cm from the floor. Ignacio sits in his adjustable chair, and the tops of his legs are 49.3 cm from the floor. Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8 cm Write an inequality to determine the number of clockwise rotations, r, Ignacio could make with the knob without his legs touching the desk.

Answer 1

The inequality to determine the number of rotations is given by

r ≤ 5.25

Therefore the maximum number of rotations possible is 5.

Explanation:

i.) The bottom of Ignacio's desktop is 74.5 cm from the floor.

ii.) The tops of his legs are 49.3 cm from the floor.

iii.) the difference between the bottom of Ignacio's desktop and the top of his legs = 74.5 - 49.3 = 25.2 cm.

iv.) Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8 cm.

v.) let the number of clockwise rotations be r.

vi.) therefore the inequality to determine the number of rotations is given by

4.8r ≤ 25.2 therefore r ≤ 25.2/4.8 therefore r ≤ 5.25