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4. Liam can drive 140 miles in 2 hours. Which statements are true regarding Liam's unit rate of hours per mile? Select All that applies. A. It takes Liam 1 hour to drive 50 miles B. It takes Liam 2.5 hours to drive 50 miles C. It takes Liam 3 hours to drive 200 miles D. It takes Liam 5 hours to drive 250 miles E. It takes Liam 1.5hours to drive 75 miles

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A. It takes Liam 1 hour to drive 50 miles (False)

B. It takes Liam 2.5 hours to drive 50 miles (True)

C. It takes Liam 3 hours to drive 200 miles (False)

D. It takes Liam 5 hours to drive 250 miles (True)

E. It takes Liam 1.5 hours to drive 75 miles (True)

The unit rate of hours per mile can be found by dividing the total number of hours by the total number of miles. In this case, Liam's unit rate is 2/140 or 1/70 hours per mile. To find the time it takes Liam to drive a certain distance, we can multiply the distance by the unit rate.

Using this information, we can see that statement B is true because if Liam drives 50 miles, it will take him 2.5 hours (50 x 1/70 = 2.5). Statement D is also true because if Liam drives 250 miles, it will take him 5 hours (250 x 1/70 = 5). Finally, statement E is true because if Liam drives 75 miles, it will take him 1.5 hours (75 x 1/70 = 1.5). However, statements A and C are false because if Liam drives 50 miles, it will take him 2.5 hours (not 1 hour) and if he drives 200 miles, it will take him 4 hours (not 3 hours).

User Scott Roberts
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The correct statements regarding Liam's unit rate of hours per mile are:

A. It takes Liam 1 hour to drive 50 miles.
B. It takes Liam 2.5 hours to drive 50 miles.
E. It takes Liam 1.5 hours to drive 75 miles.

These statements are true because Liam can drive 70 miles per hour (140 miles ÷ 2 hours = 70 miles per hour). Therefore, to find how long it takes him to drive a certain distance, you can divide the distance by 70 to get the number of hours. For example:

- To drive 50 miles, Liam needs 50 ÷ 70 = 0.71 hours, or 42.9 minutes.
- To drive 75 miles, Liam needs 75 ÷ 70 = 1.07 hours, or 64.3 minutes.