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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?

1 answer

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.