Q 43.
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.
Step-by-Step Solution
VerifiedHence, the graph of given situation is,
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.
Graph:
Graph is the collection of all points whose coordinates satisfy a given situation.
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,
Hence, the graph of given situation is,