Question

Question HelpMultiple Representations A vehicle ses 7 gallons of gasoline to travel 147 miles. The vehicle uses gasoline at a steady rate. Use pencil and paper to draw a picture that models the situation Write a table of equivalent ratiosThen use the table to find the number of gallons of gasoline the vehicle uses to travel 63 milesComplete the tableGallons Miles1231411421

Answer 1

We know a vehicle uses 7 gallons of gasoline to travel 147 miles.

This gives us a ratio: 147/7 = 21

The vehicle travels 21 miles per gallon of gasoline

The situation can be modeled as a line with a constant slope of 21 miles/gallon

If we use the horizontal axis for the number of gallons and the vertical axis for the miles traveled, we can draw an approximate graph

Let's give the gallons (g) some values to fill up the table:

For g=1, miles = 21

For g=2, miles = 42

For g=3, miles = 63

For g=7, miles = 147

For g=14, miles = 294

For g=21, miles = 441

The graph is shown below