Question

are the quantities in the following rates proportional? decide by converting each rate to a decimal rounded to the nearest tenth.
303 miles in 5 hours and 529 miles in 8 hours

select the correct choice below and fill in any answer boxes to complete your choice.

a. the quantities are proportional because both rates have the same value, about mph.
(type an integer or decimal rounded to the nearest tenth as needed.)
b. the quantities are not proportional because 303 miles in 5 hours has a value of mph and 529 miles in 8 hours has a value of about mph.
(type integers or decimals rounded to the nearest tenth as needed.)

Explanation:

Step1: Calculate first rate

To find the rate for 303 miles in 5 hours, divide miles by hours: $\frac{303}{5} = 60.6$ mph.

Step2: Calculate second rate

For 529 miles in 8 hours, divide: $\frac{529}{8} = 66.125$, rounded to nearest tenth is $66.1$ mph.

Step3: Compare rates

Since $60.6
eq 66.1$, the rates are not proportional.

Answer:

B. The quantities are not proportional because 303 miles in 5 hours has a value of $60.6$ mph and 529 miles in 8 hours has a value of about $66.1$ mph.