Question

The table below shows the total number of brake pads produced by machines throughout a 12-hour work day.

hours worked: 3 6 9 12
Brake pads produced: 48 96 144 192

what is the unit rate for brake pads produced per hour?

Answer 1

To find the unit rate of brake pads produced per hour, we can look at how many brake pads are produced per hour of work.

From the data provided:

- In 3 hours: 48 brake pads
- In 6 hours: 96 brake pads
- In 9 hours: 144 brake pads
- In 12 hours: 192 brake pads

We can calculate the unit rate by dividing the total number of brake pads produced by the total hours worked:

1. For 3 hours:
\( \frac{48 \, \text{brake pads}}{3 \, \text{hours}} = 16 \, \text{brake pads per hour} \)

2. For 6 hours:
\( \frac{96 \, \text{brake pads}}{6 \, \text{hours}} = 16 \, \text{brake pads per hour} \)

3. For 9 hours:
\( \frac{144 \, \text{brake pads}}{9 \, \text{hours}} = 16 \, \text{brake pads per hour} \)

4. For 12 hours:
\( \frac{192 \, \text{brake pads}}{12 \, \text{hours}} = 16 \, \text{brake pads per hour} \)

Thus, the unit rate for brake pads produced is **16 brake pads per hour**.