Math Problem Statement

A car has a 16-gallon fuel tank when driven On a highway it has a gas mileage of 30 miles per gallon the gas mileage tells us the number of miles the car can travel for a particular amount of fuel one gallon of gasoline in this case after filling the gas tank the driver got on a highway and drove for a while how many miles has the car traveled if it has the following amounts gas left in the tank

Solution

To determine how many miles the car has traveled after it has used some of the fuel, we can use the gas mileage formula:

Distance Traveled=Miles per Gallon×Gallons Used\text{Distance Traveled} = \text{Miles per Gallon} \times \text{Gallons Used}

Given:

  • The car's fuel tank has a capacity of 16 gallons.
  • The car's gas mileage is 30 miles per gallon.

Step 1: Define Gallons Used

For each scenario where the car has a certain amount of gas left in the tank, the gallons used can be calculated by subtracting the gas left from the total capacity of 16 gallons:

Gallons Used=16Gas Left\text{Gallons Used} = 16 - \text{Gas Left}

Step 2: Calculate Distance Traveled

Once we know how many gallons have been used, we can multiply that by the car's mileage (30 miles per gallon) to find the distance traveled.

Let me know how much gas is left in the tank, and I can calculate the distance for each case!

Would you like to provide the gas amounts, or should I create examples?

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Unit Conversion
Distance Calculation

Formulas

Distance Traveled = Miles per Gallon × Gallons Used
Gallons Used = Total Capacity - Gas Left

Theorems

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Suitable Grade Level

Grades 5-7