Math Problem Statement

Two gallons of gasoline cost $6.

Complete the table with the missing volume of gasoline or missing price.

Two gallons of gasoline cost $6. Complete the table with the missing volume of gasoline or missing price.

Solution

To solve this, we need to find the cost per gallon and use that to fill in the missing values.

  1. First, calculate the price per gallon: Price per gallon=Total PriceGallons=62=3 dollars per gallon\text{Price per gallon} = \frac{\text{Total Price}}{\text{Gallons}} = \frac{6}{2} = 3 \text{ dollars per gallon}

  2. Use this rate to fill in the missing values:

    • For row aa, where the price is 11 dollar, we find the gallons: Gallons=1 dollar3 dollars per gallon=130.33 gallons\text{Gallons} = \frac{1 \text{ dollar}}{3 \text{ dollars per gallon}} = \frac{1}{3} \approx 0.33 \text{ gallons}

    • For row bb, where the gallons are 11, we find the price: Price=1 gallon×3 dollars per gallon=3 dollars\text{Price} = 1 \text{ gallon} \times 3 \text{ dollars per gallon} = 3 \text{ dollars}

  3. Final Table:

    Gasoline (gallons)Price (dollars)
    26
    0.331
    13

Let me know if you'd like further details or if you have questions!

Related Questions

  1. How would the price change if gasoline costs $4 per gallon?
  2. What if 3 gallons of gasoline cost $9?
  3. How many gallons would $5 buy at this rate?
  4. What is the formula for calculating cost with different rates per gallon?
  5. How can this concept be used to calculate fuel costs for long trips?

Tip

Always calculate the unit rate first when working with proportional relationships.

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Math Problem Analysis

Mathematical Concepts

Proportion
Unit Rate

Formulas

Price per gallon = Total Price / Gallons

Theorems

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Suitable Grade Level

Grades 5-7