What are the missing values for gallons and miles in the table?

Understand the Problem

The question involves filling in missing values in a table that relates the number of gallons to the number of miles. We need to find a relationship between the gallons and miles to complete the table.

Answer

The missing values are 1 gallon = 45 miles and 5 gallons = 225 miles.

Steps to Solve

Identify the relationship between gallons and miles

We need to find out how many miles can be driven per gallon. From the table, we see that when 4 gallons are used, 180 miles can be driven.

Calculate miles per gallon

We can find the miles per gallon (MPG) by dividing the miles driven by the gallons used: $$ \text{MPG} = \frac{\text{miles}}{\text{gallons}} = \frac{180}{4} = 45 $$

Use MPG to fill in the missing values

Now we can fill in the missing values in the table. The first row has 45 miles, so we will find the gallons used:

For 5 gallons, the miles would be: $$ \text{Miles} = \text{Gallons} \times \text{MPG} = 5 \times 45 = 225 $$

Complete the table

The completed table will have the missing values filled in:

When there are 4 gallons, there are 180 miles.
When there are 5 gallons, there are 225 miles.
When there are 1 gallon (since 1 gallon corresponds to 45 miles), it would be: $$ \text{Miles} = 1 \times 45 = 45 $$

The completed table looks like this:

Gallons	Miles
1	45
4	180
5	225

The completed table values are:

Gallons	Miles
1	45
4	180
5	225

More Information

The relationship between gallons and miles follows a consistent pattern where miles driven increases linearly with the amount of gallons used. This type of problem is typical in fuel efficiency calculations.

Tips

Forgetting to calculate miles per gallon before filling in the table.
Miscalculating the multiplication for miles based on gallons.

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