Question

The Garcia family drives home from a vacation trip. The table of values below shows the relationship between the number of gallons, g, of gasoline their car uses and the distance in miles, d, the car is from home.

Answer 1

We are given a table of gallons of gasoline vs distance from home of a car. We can determine the number of miles per gallon by determining the slope of the data. To do that we will use the following formula:

`m=(d_2-d_1)/(g_2-g_1)`

Where:

`(g_1,d_1),(g_2,d_2)`

Are points in the table. We will choose the first two points:

`\begin{gathered} (g_1,d_1)=(1,144) \\ (g_2,d_2)=(2,124) \end{gathered}`

Substituting the values:

`m=(124-144)/(2-1)=-20`

Therefore, the car consumes 20 miles per gallon.

Since the consumption is 20 miles per gallon and after 1 gallon there are 144 miles, this means that the initial point is 164 miles. This means that the car started 164 miles from home and consumes 20 miles per gallon. The right answer is the last option.