Hi I need a little help with a couple math questions I believe I have the answers, if someone can please just check them thank you.

1. The table shows the number of miles driven over time.
Time 4|6|8|10
Miles 204|306|408|510

Express the relationship between distance and time in simplified form as a unit rate. Determine which statment correctly interprets this relationship.
A. 51/1; your car travels 51 miles every 1 hour
B. 204; your car travels 204 miles
C. 1/51 You car travels 51 miles every 1 hour.
D. 10; your car travels for 10 hours.

I believe the answer is A, although it could be C.

7 answers

Anyone got the answers to the full test?

204/4 = 51

408/8 = 51
510/10 = 51 miles per hour 51mi/1hr
so A.

Thank you so much Damon.

You are welcome.

thank

i wish

To determine the relationship between distance and time as a unit rate, you need to divide the distance (in miles) by the time (in hours). Let's calculate the unit rate for each data point in the table:

For the first data point: 204 miles divided by 4 hours equals 51 miles per hour.
For the second data point: 306 miles divided by 6 hours equals 51 miles per hour.
For the third data point: 408 miles divided by 8 hours equals 51 miles per hour.
For the fourth data point: 510 miles divided by 10 hours equals 51 miles per hour.

As you can see, the unit rate remains constant at 51 miles per hour for each data point. Therefore, the relationship between distance and time can be expressed as 51/1.

Now, let's consider the statements:

A. 51/1; your car travels 51 miles every 1 hour: This statement correctly interprets the relationship as 51 miles per hour.

B. 204; your car travels 204 miles: This statement only indicates the distance traveled for the first data point, not the relationship between distance and time.

C. 1/51; your car travels 51 miles every 1 hour: This statement has the correct unit rate, but it does not interpret the relationship accurately. The car is not traveling 51 miles every 1 hour; it is traveling at a rate of 51 miles per hour.

D. 10; your car travels for 10 hours: This statement does not reflect the relationship between distance and time.

Based on this analysis, the correct interpretation of the relationship between distance and time is option A: 51/1; your car travels 51 miles every 1 hour.