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

The table shows the number of brake pads produced in 3 hours is 48, 6 hours is 96, 9 hours is 144, and 12 hours is 192.

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

A.
4 brake pads per hour

B.
3 brake pads per hour

C.
12 brake pads per hour

D.
16 brake pads per hour

1 answer

To find the unit rate for brake pads produced per hour, we can look at the total production and the hours worked. We know from the provided data that:

  • In 3 hours, 48 brake pads are produced.
  • In 6 hours, 96 brake pads are produced.
  • In 9 hours, 144 brake pads are produced.
  • In 12 hours, 192 brake pads are produced.

We can calculate the unit rate using the 12-hour production as it gives us the total number of pads produced and the total hours worked.

Total brake pads produced in 12 hours = 192 brake pads Total time = 12 hours

Now, we calculate the unit rate:

\[ \text{Unit rate} = \frac{\text{Total brake pads}}{\text{Total hours}} = \frac{192 \text{ brake pads}}{12 \text{ hours}} = 16 \text{ brake pads per hour} \]

Thus, the unit rate for brake pads produced per hour is:

D. 16 brake pads per hour