Question

the table shows the gallons of fuel remaining after a car travels a certain distance in miles. the change in fuel remaining from one row to the next in the table is gallon(s). the change in distance from one row to the next in the table is mile(s). the slope of the line that runs through the points given in the table is. the slope indicates a.
distance (miles) | fuel remaining (gallons)
0 | 13.50
1 | 13.46
2 | 13.42
3 | 13.38
4 | 13.34
5 | 13.30

Explanation:

Step1: Calculate change in fuel

Subtract consecutive fuel - remaining values. For example, $13.46−13.50=- 0.04$. The change in fuel remaining from one row to the next is $-0.04$ gallons.

Step2: Calculate change in distance

Subtract consecutive distance values. For example, $1 - 0=1$. The change in distance from one row to the next is $1$ mile.

Step3: Calculate slope

The slope $m$ of a line is given by the formula $m=\frac{\text{change in }y}{\text{change in }x}$. Here, the change in $y$ (fuel remaining) is $-0.04$ and the change in $x$ (distance) is $1$. So, $m=\frac{-0.04}{1}=-0.04$.

Step4: Interpret slope

The slope of $-0.04$ indicates that for every 1 - mile increase in distance, the fuel remaining in the car decreases by $0.04$ gallons.

Answer:

The change in fuel remaining from one row to the next in the table is $-0.04$ gallon(s).
The change in distance from one row to the next in the table is $1$ mile(s).
The slope of the line that runs through the points given in the table is $-0.04$.
The slope indicates that for every 1 - mile increase in distance, the fuel remaining in the car decreases by $0.04$ gallons.