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:
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:
[tex]\frac{204miles}{4hours}=51miles/hour[/tex]
[tex]\frac{306miles}{6hours}=51miles/hour[/tex]
[tex]\frac{408miles}{8hours}=51miles/hour[/tex]
[tex]\frac{510miles}{10hours}=51miles/hour[/tex]
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