The table below shows the total number of cars produced by machines throughout an 8 hour work day.

Hours Worked 2 4 5 8
Cars Produced 6 12 15 24
What is the unit rate for cars produced per hour?

Group of answer choices

4 hours

1/3 cars per hour

6 hours

3 cars per hour

1 answer

To find the unit rate for cars produced per hour, we can divide the total number of cars produced by the total hours worked.

From the table, we can calculate the unit rates for each of the given hours worked:

  1. For 2 hours: \[ \text{Cars per hour} = \frac{6 \text{ cars}}{2 \text{ hours}} = 3 \text{ cars per hour} \]

  2. For 4 hours: \[ \text{Cars per hour} = \frac{12 \text{ cars}}{4 \text{ hours}} = 3 \text{ cars per hour} \]

  3. For 5 hours: \[ \text{Cars per hour} = \frac{15 \text{ cars}}{5 \text{ hours}} = 3 \text{ cars per hour} \]

  4. For 8 hours: \[ \text{Cars per hour} = \frac{24 \text{ cars}}{8 \text{ hours}} = 3 \text{ cars per hour} \]

In each case, the unit rate is consistently \(3\) cars per hour.

So, the correct answer is: 3 cars per hour.