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Landon owns a hybrid SUV that can travel 400 miles on a 15-gallon tank of gas. Determine how many miles he can travel on 6 gallons. Find the unit ratio.

A) 160 miles
B) 240 miles
C) 60 miles
D) 120 miles

1 Answer

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Final answer:

By calculating the unit rate of 26.67 miles per gallon for Landon's SUV, we can determine that he can travel 160 miles on 6 gallons of gas. The answer is option A) 160 miles.

Step-by-step explanation:

To determine how many miles Landon can travel on 6 gallons of gas using his hybrid SUV, we need to find the unit rate of miles per gallon and then apply it to find the mileage for 6 gallons. The unit rate can be calculated by dividing the total number of miles he can travel on a full tank by the number of gallons his tank holds.

The formula to find the unit rate is:

Unit Rate (miles per gallon) = Total Miles Travelled / Total Gallons Used

In this case, Landon's SUV travels 400 miles on a 15-gallon tank. So the unit rate is 400 miles / 15 gallons, which simplifies to 26.67 miles per gallon.

To find out how many miles he can travel on 6 gallons, we multiply the unit rate by 6:

Miles on 6 gallons = Unit Rate x 6

Miles on 6 gallons = 26.67 miles per gallon x 6 gallons = 160 miles

Therefore, Landon can travel 160 miles on 6 gallons of gas. The correct answer is option A) 160 miles.

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