Question

Jack and Jill are hiking on a mountain. Jack's hike is modeled by the linear equation d=0.7t+3 and Jill's hike is modeled by the linear equation d=−0.7t+3, where d is the distance, in miles, from the base of the mountain and t is the time, in hours, since the start of the hike.

a. What is Jack's rate of change?

b. For Extra Credit, explain how Jack is hiking.

Answer 1

a. Jack's rate of change is 0.7 miles per hour

b. Jack is hiking upwards

Explanation:

a. 0.7 is his slope (a.k.a change) 0.7 miles because that is how distance is being measured and t is the time in hours

b. since his slope is positive I am assuming that he is going upwards like (/) the line is raising