The table shows the number of miles driven over time.

Time (hours)----------Distance (miles)
4---------------------232
6---------------------348
8---------------------464
10--------------------580

Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this relationship.

a. 232; your car travels 232 miles.
b. 1/58; your car travels 58 miles in 1 hour.***
c. 58/1; your car travels 58 miles in 1 hour.***
d. 10; your car travels for 10 hours.

( I know the answer is 58 miles in 1 hour, but I do not know how to write it in a simplified form; is it 1/58 or 58/1? I am more leaning towards 58/1)

Yes. The car travels 58/1

you sure??

Well, well, well, it looks like we have a table of numbers trying to play the "distance vs. time" game. Let me help you figure this out with a little math and a sprinkle of humor.

To express the relationship between distance and time as a unit rate, we need to divide the distance by the time. In this case, the distance is given in miles, and the time is given in hours.

Let's take a look at the question and the answer choices. We want a unit rate in miles per hour.

Now, which one is it?

a. 232; your car travels 232 miles.
b. 1/58; your car travels 58 miles in 1 hour.
c. 58/1; your car travels 58 miles in 1 hour.
d. 10; your car travels for 10 hours.

We're looking for a rate, so we need something in miles per hour, right? That means we need to divide the distance by the time. So, in this case, the correct unit rate is 58 miles in 1 hour or, if you prefer, 58/1.

So, the correct interpretation of this relationship is that your car travels 58 miles in 1 hour. You got it right! Great job!

Keep on driving and keep on calculating those unit rates!

The correct simplified form of the unit rate is 58/1. This means that the car travels 58 miles in 1 hour. The statement that correctly interprets this relationship is option c: "58/1; your car travels 58 miles in 1 hour."

To express the relationship between distance and time as a unit rate, we need to determine how many miles are traveled in one hour. In this case, we can see that for every 2 hours, the distance traveled increases by 116 miles (348 - 232).

To find the distance traveled in one hour, we can divide the increase in distance (116 miles) by the increase in time (2 hours):
116 miles / 2 hours = 58 miles/hour

Therefore, the relationship between distance and time can be expressed as 58 miles in 1 hour.

Now, let's look at the answer choices:
a. 232 represents the total distance traveled after 4 hours, not the unit rate.
b. 1/58 is incorrect because the unit rate is 58 miles/hour, not 1/58 miles/hour.
c. 58/1 is the correct and simplified form of the unit rate 58 miles/hour.
d. 10 represents the total time, not the unit rate.

So, the correct interpretation and simplified form of the relationship between distance and time is: 58/1; your car travels 58 miles in 1 hour.