Question

The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacios sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8cm. 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

Answer:

Number of rotations r < 5.25

Step-by-step explanation:

Given: bottom of the desktop is 74.5 cm from the floor.

Top of Ignacio's legs are 49.3 cm from the floor.

Each clockwise rotation on the knob raises Ignacio's legs by 4.8 cm.

To find: Inequality to determine the number of clockwise rotations r, Ignacio could make with the knob without his legs touching the desk.

Solution: Distance between Ignacio's legs and the base of the desktop = 74.5 -49.3 = 25.2

Therefore inequality will be

Height raised in one rotation × r < 25.2

4.8×r < 25.2

r < 25.2÷4.8

r  < 5.25