Problem

4. Bob's motorcycle can travel 85 miles on one gallon of gasoline. How many gallons will Bob need to complete a trip of 670 miles? Round your answer to the nearest hundredth. gallons

Answer

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Answer

Final Answer: Bob will need approximately \(\boxed{7.88}\) gallons of gasoline to complete his trip.

Steps

Step 1 :Given that Bob's motorcycle can travel 85 miles on one gallon of gasoline, we need to find out how many gallons Bob will need to complete a trip of 670 miles.

Step 2 :To solve this problem, we need to divide the total distance of the trip by the distance that can be covered with one gallon of gasoline. This will give us the total number of gallons needed for the trip.

Step 3 :Let's denote the total distance as \(d\) and the distance that can be covered with one gallon of gasoline as \(m\). The number of gallons needed for the trip can be calculated as \(\frac{d}{m}\).

Step 4 :Substituting the given values, we get \(\frac{670}{85} = 7.882352941176471\).

Step 5 :We then round this number to the nearest hundredth to get 7.88.

Step 6 :Final Answer: Bob will need approximately \(\boxed{7.88}\) gallons of gasoline to complete his trip.

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