The equation y is equal to negative 1 over 20 x plus 10 represents the gallons of gasoline that remain in Michelle’s car after she drives x miles. Which graph represents this equation?

Answer

A

Image with description A first-quadrant line graph titled Driving. The horizontal axis is labeled Total miles traveled and shows tick marks every 20 miles with visible labels at 20, 60, 100, 140, and 180. The vertical axis is labeled Gallons of gasoline and shows tick marks every 2 gallons with visible labels at 2, 6, 10, 14, and 18. A decreasing line segment begins at (0 comma 11) and ends at (200 comma 3).

B

Image with description A first-quadrant line graph titled Driving. The horizontal axis is labeled Total miles traveled and shows tick marks every 25 miles with visible labels at 25, 75, 125, 175, and 225. The vertical axis is labeled Gallons of gasoline and shows tick marks every 2 gallons with visible labels at 2, 6, 10, 14, and 18. A decreasing line segment begins at (0 comma 10) and ends at (150 comma 0).

C

Image with description A first-quadrant line graph titled Driving. The horizontal axis is labeled Total miles traveled and shows tick marks every 20 miles with visible labels at 20, 60, 100, 140, and 180. The vertical axis is labeled Gallons of gasoline and shows tick marks every 2 gallons with visible labels at 2, 6, 10, 14, and 18. A decreasing line segment begins at (0 comma 10) and ends at (200 comma 0).

D

Image with description A first-quadrant line graph titled Driving. The horizontal axis is labeled Total miles traveled and shows tick marks every 25 miles with visible labels at 25, 75, 125, 175, and 225. The vertical axis is labeled Gallons of gasoline and shows tick marks every 2 gallons with visible labels at 2, 6, 10, 14, and 18. A decreasing line segment begins at (0 comma 12) and ends at (240 comma 0).

Explanation

The equation is in slope-intercept form: y = −(1/20)x + 10. The y-intercept is 10, so the graph starts at (0, 10). To find where the line reaches 0 gallons, set y = 0: 0 = −x/20 + 10, which gives x = 200. Choice C shows a line from (0, 10) to (200, 0).

AI-written and checked against the verified answer.

Slope-Intercept Form — Quiz

The equation y is equal to negative 1 over 20 x plus 10 represents the gallons of gasoline that remain in Michelle’s car after she drives x miles. Which graph represents this equation?

Explanation

More from this Course