Suppose Jo\'s car is parked 18 meters from her house. Jo is 3 meters from her ho

Question

Suppose Jo's car is parked 18 meters from her house. Jo is 3 meters from her house, directly between her house and her car, when all of a sudden she begins walking towards her car a constant speed. 4 seconds after she started walking Jo is 9 meters from her house. Let d represent Jo's distance from her house (in meters) and let t represent the number of seconds since Jo started walking. Complete the following sentence by filling in the answer-boxes with numbers: Jo walks at a constant speed and covers 6 meters every 4 seconds. Since 1 second is times as large as 4 seconds, every time Jo walks for 1 second her change in distance from the house is times as large as 6 meters. Therefore, Jo walks meters every second. Suppose the value of t increases from 4 to 7.6. Complete the following sentence by filling in the answer-boxes with numbers: Jo walks at a constant speed and covers 6 meters in 4 seconds. Since 3.6 seconds is times as large as 4 seconds, every time Jo walks for 3.6 second her change in distance will be times as large as 6 meters. Therefore, Jo walks meters every 3.6 seconds. Complete the following sentence by filling in the answer-boxes with numbers: Jo is 9 meters from her house when she has walked for 4 seconds. If Jo walks for an additional 3.6 seconds, then she will have traveled an additional meters. Therefore, 7.6 seconds after Jo started walking she is meters from her house.

Explanation / Answer

a.) 0.25, 0.25, 1.5

b.) 0.9, 0.9, 5.4

c.) 5.4, 3.6

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