Question

The bottom of Ignacio's desktop is 74.5\,\text{cm}74.5cm74, point, 5, space, c, m from the floor. Ignacio sits in his adjustable chair, and the tops of his legs are 49.3\,\text{cm}49.3cm49, point, 3, space, c, m from the floor. Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8\,\text{cm}4.8cm4, point, 8, space, c, m.
Write an inequality to determine the number of clockwise rotations, rrr, Ignacio could make with the knob without his legs touching the desk.

Answer 1

Answer:

49.3 + 4.8n < 74.5

5 rotations

Step-by-step explanation:

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

number of clockwise rotations = n

without his legs touching the desk.

=> 49.3 + 4.8n < 74.5

=> 4.8n < 25.2

=> n < 5.25

=> n = 5