Final answer:
To find out how much gasoline will be needed to go 80 miles, set up a proportion: 50 miles / 5 gallons = 80 miles / x gallons. Cross-multiply and solve for x to get x = 8 gallons. Therefore, the boat will need 8 gallons of gasoline to go 80 miles.
Step-by-step explanation:
To find out how much gasoline will be needed to go 80 miles, we can set up a proportion based on the information given. Since the boat travels 50 miles on 5 gallons of gasoline, we can say that the rate of travel is 50 miles/5 gallons. We can set this rate equal to the unknown rate of travel for 80 miles, which we'll call x gallons. This gives us the proportion: 50 miles/5 gallons = 80 miles/x gallons.
To find x, we can cross-multiply and solve for it. Multiplying 50 miles by x gallons gives us 50x, and multiplying 5 gallons by 80 miles gives us 400. So, we have the equation 50x = 400. Dividing both sides by 50 gives us x = 8 gallons.
Therefore, the boat will need 8 gallons of gasoline to go 80 miles.