Question

select the correct response from each drop - down menu.
a farmer drives 120 miles on 20 gallons of gas. at this rate, how many miles can they expect to drive on 12 gallons of gas?
the given rate is
the unit rate is
multiply each term of the unit rate by the given amount:
so, the farmer can expect to drive miles on 12 gallons of gas.

Explanation:

Step1: Determine the given rate

The given rate is the miles driven per gallons of gas initially, so it's 120 miles per 20 gallons, or $\frac{120 \text{ miles}}{20 \text{ gallons}}$.

Step2: Calculate the unit rate

To find the unit rate (miles per 1 gallon), divide the miles by the gallons: $\frac{120}{20} = 6$ miles per gallon, so the unit rate is $\frac{6 \text{ miles}}{1 \text{ gallon}}$.

Step3: Multiply unit rate by 12 gallons

Multiply the unit rate (6 miles per gallon) by 12 gallons: $6 \times 12 = 72$. The multiplication is $6 \text{ miles/gallon} \times 12 \text{ gallons}$.

Step4: Find total miles for 12 gallons

After multiplying, we get the total miles, which is 72.

Answer:

s (for each drop - down in order):

• The given rate is $\boldsymbol{\frac{120 \text{ miles}}{20 \text{ gallons}}}$ (or 120 miles per 20 gallons).
• The unit rate is $\boldsymbol{\frac{6 \text{ miles}}{1 \text{ gallon}}}$ (or 6 miles per gallon).
• Multiply each term of the unit rate by the given amount: $\boldsymbol{6 \text{ miles/gallon} \times 12 \text{ gallons}}$.
• So, the farmer can expect to drive $\boldsymbol{72}$ miles on 12 gallons of gas.