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Welcome to the article A boat can travel 313 miles on 62 6 gallons of gasoline How far can it travel on 35 1 gallons. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

A boat can travel 313 miles on 62.6 gallons of gasoline. How far can it travel on 35.1 gallons?

Answer :

Answer:

175.5 miles (176 miles to 3 sig figs)

Step-by-step explanation:

We are told that the boat can travel 313 miles on 62.6 gallons of gasoline. Let's assume it achieves the same efficiency on a trip requiring 35.1 gallons. First, let's calculate a rate, in miles/gallon (mi/gal).

Divide the miles by the gallons: (313 miles)/(62.6 gal) = 5 mi/gal

We are asked how many miles would the boat travel on 35.1 gallons. Note the units on the rate we calculated (mi/gal).

If we assume the rate [5 (mi/gal)] is constant, we can form an equation to predict the miles the boat will travel. Rate is the same as the slope of a straight line(linear equation).

A linear equation can be expressed in the form of y = mx + b, where m is the slope [rate of change] and b is the y-intercept ( the value of y when x is zero).

Let y be the miles travelled, m is the slope of 5 (mi/gal) and x is the gallons used:

Miles = (Miles/Gal)*(Gallons), or

y = (5 miles/gal)*x

We are given x, the gallons used:

y = (5 miles/gal)*(35.1 gal)

Note that the gallons unit cancels out.

y = (5 miles)*(35.1)

y = 175.5 miles or 176 miles to 3 sig figs

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Rewritten by : Brahmana