Question

extrapolation allows you to predict what your data might look like in the future.
gallons of gas in a tank over a distance
amount of gasoline (gallons)
100 200 300 400 500
distance traveled (miles)
you are taking a road trip. right before you left, you put 18 gallons of gas into your vehicle’s gas tank. every 100 miles, you’ve checked to see how much gas is left in the tank.
use your extrapolation skills to predict how much gas you will have left in your tank after traveling 400 miles.
______ gallons

Explanation:

Step1: Find gas usage per 100 miles

From the graph: starting at 16 gallons (0 miles), at 100 miles it's 12 gallons.
Gas used: $16 - 12 = 4$ gallons per 100 miles.

Step2: Calculate total gas used in 400 miles

Miles per segment: $\frac{400}{100} = 4$ segments.
Total gas used: $4 \times 4 = 16$ gallons.

Step3: Compute remaining gas

Initial gas: 16 gallons.
Remaining gas: $16 - 16 = 0$ gallons.

Answer:

0 gallons