Question

Which unit rate is equivalent to 17 miles per gallon?

A) 3 gallons 51 miles
B) 51 miles 3 gallons
C) 34 miles 4 gallons
D) 4 gallons 34 miles

Answer 1

The unit rate equivalent to 17 miles per gallon is 51 miles per 3 gallons.

Step-by-step explanation:

The unit rate equivalent to 17 miles per gallon is 51 miles per 3 gallons (Option B).

To find the unit rate, divide the given number of miles (17) by the given number of gallons (1). So, 17 miles per 1 gallon is the unit rate.

Next, simplify the unit rate to the lowest terms. Divide both the numerator and denominator in the unit rate by their greatest common divisor, which is 17 in this case. So, 17 miles per 1 gallon simplifies to 1 mile per 1/17 gallon.

Finally, rewrite the simplified unit rate in a form where the denominator is a whole number. In this case, dividing 1 by 1/17 is the same as multiplying 1 by 17/1 (the reciprocal of 1/17). So, 1 mile per 1/17 gallon is equivalent to 17 miles per 17/1 gallon, which simplifies to 17 miles per 3 gallons.