Question

Consider the following scenario: Barbara decides to take a walk. She leaves home, walks 2 blocks in 5 minutes at a constant speed, and realizes that she forgot to lock the door. So Barbara runs home in 1 minute. While at her doorstep, it takes her 1 minute to find her keys and lock the door. Barbara

walks 5 blocks in 15 minutes and then decides to jog home. It takes her 7 minutes to get home. Draw a graph of Barbara’s

distance from home (in blocks) as a function of time.

Short answer

Hence, the graph of given situation is,

Step-by-step solution

Step 1. Given information.

We have given,

Consider the following scenario: Barbara decides to take a walk. She leaves home, walks 2 blocks in 5 minutes at a constant speed, and realizes that she forgot to lock the door. So Barbara runs home in 1 minute. While at her doorstep, it takes her 1 minute to find her keys and lock the door. Barbara walks 5 blocks in 15 minutes and then decides to jog home. It takes her 7 minutes to get home. Draw a graph of Barbara’s distance from home (in blocks) as a function of time.

Step 2. Concept used.

Graph:

Graph is the collection of all points whose coordinates satisfy a given situation.

Part 3. Explanation.

When Barbara decide the walk it walks two blocks in 5 minutes so first point is (5, 2).

when she run home in 1 minute next point found is (6, 0) then she takes one minutes to find her key's so second point is (7, 0) Barbara walks 5 blocks in 15 minutes and then to jog home so next point is (22, 5).

She takes 7 minutes to get home. so final point is (29, 0).

Drawing all points on the graph and joining it we get,

Step 4. Conclusion.

Hence, the graph of given situation is,