you found that coles rate is 200 meters per minute and diegos rate is 300 meters per minute. both graphs are…
you found that coles rate is 200 meters per minute and diegos rate is 300 meters per minute. both graphs are shown below. the slope of a line is the change in y when x increases by 1. what is the slope of diegos line? 100 200 300 400
Answer
Explanation:
Step1: Recall slope definition
Slope is change in ( y ) when ( x ) increases by 1. Here, ( y ) is distance (m), ( x ) is time (min).
Step2: Relate rate to slope
Diego's rate is 300 meters per minute. Rate = distance/time, so slope (change in ( y ) per 1 ( x )) equals rate.
Step3: Confirm with graph
Graph shows +300 change in ( y ) (distance) for +1 in ( x ) (time), matching rate.