Question

this graph shows how the amount of gas remaining is related to the number of miles driven.
gas left in mackenzies tank
if mackenzie drove 20 miles, how many gallons of gas would be left in the tank?
9 gallons 6 gallons
8 gallons 7 gallons

Explanation:

Step1: Analyze the graph

The x - axis represents the distance driven (in miles) and the y - axis represents the gas remaining (in gallons). We need to find the gas remaining when the distance driven is 20 miles.

Step2: Locate x = 20 on the graph

Find the point on the line where the x - coordinate (distance driven) is 20. Then, check the corresponding y - coordinate (gas remaining). From the graph, when x = 20 (distance driven is 20 miles), the y - coordinate (gas remaining) is 8 gallons? Wait, no, let's re - check. Wait, the line starts at (0,10) and ends at (100,0). The slope of the line is $m=\frac{0 - 10}{100 - 0}=-\frac{1}{10}$. The equation of the line is $y-10=-\frac{1}{10}(x - 0)$, so $y = 10-\frac{1}{10}x$. When $x = 20$, $y=10-\frac{20}{10}=10 - 2 = 8$? Wait, no, wait the graph: when x = 10, y = 9; x = 20, y = 8? Wait, no, looking at the grid, when x = 20 (distance driven 20 miles), the y - value (gas remaining) is 8? Wait, no, let's count the grid. The y - axis has 10 at (0,10), then each grid line is 1 unit. The x - axis: 0,10,20,... So at x = 20, the point on the line is at y = 8? Wait, no, the line goes from (0,10) to (100,0). So the rate of gas consumption is 10 gallons per 100 miles, which is 0.1 gallons per mile. So for 20 miles, the gas used is 20×0.1 = 2 gallons. So gas remaining is 10 - 2 = 8 gallons? Wait, but let's check the graph again. The vertical axis (gas) has 10 at the top, then 9,8,7,6,... So when x = 20 (distance), the y - coordinate (gas) is 8? Wait, no, maybe I made a mistake. Wait, the line: from (0,10) to (100,0). So when x = 20, y = 10-(10/100)*20=10 - 2 = 8. So the gas remaining is 8 gallons.

Answer:

8 gallons