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.