Question

the table shows the number of miles driven over time. express the relationship between distance and time in simplified form as a unit rate. determine which statement correctly interprets this relationship.

Answer 1

A is the answer.  204/4 is 51, 306/6 is 51,etc.  The car travels 51 miles every 1 hour.

Answer 2

Answer:

a. 51/1 your car travels 51 miles every one hour.

Step-by-step explanation:

finding the relationship between distance and time in mathematics means to divide the first one by the second one so lets do that:

$\frac{204miles}{4hours}=51miles/hour$

$\frac{306miles}{6hours}=51miles/hour$

$\frac{408miles}{8hours}=51miles/hour$

$\frac{510miles}{10hours}=51miles/hour$

as you can see the relationship between distance and time in this example is always 51 miles in 1 hour, so that is the answer to the question.

B answer is not rigth because the car traveled more than 204 and it's not a relationship between distance and time.

C answer is not rigth because the relationship is upside down

D answer is not rigth because 10 hours is not a relationship between distance and time