Question

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

Ignacio can make 5 complete rotations.Step-by-step explanation:

Step-by-step explanation:

We know that the legs of Ignacio are at 49.3 cm from the floor and each rotation of the chair raises his legs another 4.8 cm.

Our aim is to set up an inequality so we can determine how many rotations Ignacio could make without having his legs touching the desk, i.e, at 74.5 cm.

Let n be the number of rotations,

4.8r + 49.3 < 74.5

We are adding his legs height to the height he raises in each rotation.

Now, we must compute it in order to r.

If we subtract 49.3 from both sides, we get:

4.8r + 49.3 - 49.3 < 74.5 - 49.3

⇔ 4.8r < 25.2

Now we must divide 4.8 in both sides:

4.8r/4.8 < 25.2/4.8

⇔ r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.