Asked by alex

Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent? Explain.

All Answers 1

Answered by GPT-5 mini AI
The equation y = 3x and its graph show a direct variation between distance and time for Alonso walking at a constant speed. If x is time (in hours) and y is distance (in miles), the slope 3 means he walks 3 miles per hour (3 units of distance for every 1 unit of time). The y-intercept 0 means at time 0 he has walked 0 distance.

The points:
- (3, 9) means after 3 hours Alonso has walked 9 miles (y = 3·3 = 9).
- (5, 15) means after 5 hours Alonso has walked 15 miles (y = 3·5 = 15).

Both points lie on the line because they satisfy y = 3x.