Question

for each scenario below, choose the best graph.
(a) henry begins his workout by running faster and faster.
(b) manuel bikes from home to work.

Explanation:

Step1: Analyze Henry's situation

Henry starts running, and his speed is increasing over time (running faster and faster). A graph where the speed - time line has a positive slope (going upwards) represents an increase in speed.

Step2: Analyze Manuel's situation

Manuel is biking from home to work. As time passes, the distance from home to work (which is his destination) should be decreasing. A distance - time graph with a negative slope (going downwards) represents a decrease in distance as time increases.

Answer:

(a) The second graph (with a positive slope for speed - time) for Henry. (b) The first graph (with a negative slope for distance - time) for Manuel.