How many gallons of gasoline are used in the United States in one day? Assume that there are two cars for every three people, that each car is driven an average of 10,000 miles per year, and that the average car gets 20 miles per gallon.

Video transcript

Hello everyone. So in this problem we need to determine the number of gallons of diesel used in Arizona in one day. Were given a bunch of values with different units were given MPG for each car. Each car is driven in average of 12,000 miles annually. There are four cars for every five people and there was an estimated seven times 10 to the sixth people in the state of Arizona. And I think it's important to write down the goal unit that we're trying to find. So we're trying to find the number of gallons her day. So because realistically start with any of these values and try to get it to this goal unit, let's start with 12,000 miles annually. So 12,000 miles on the bottom, we have it for each car. So cars in the denominator and annually means per year. So we want to get days on the bottom. So we could just multiply this value by one year In one year, there are 365 days. We could cross our year and we also want gallons on, start on, on the top instead of miles. And were given that there are 30 MPG at which is the average mileage of the car So we can put 30 miles a denominator here and one gallon. So we're multiplying it by gallons per miles and we can cross out these miles next, we want to find it in the state of how many gallons per day in the state of Arizona depending on the number of people. So there are four cars every five people. We cross our cars and we can also Multiplied by seven times 10 to the six people in Arizona record some people, And once we do this, multiplication were given a number. And when we rounded the three significant figures, we get 6.14 times 10 to the sixth gallons third day in Arizona, which is answer choice. Pay. Hope this help have a great day.