Question

Lucy takes 20 minutes to cover a mile on foot. Identify the graph that shows the relationship between time taken and distance covered and the parent function that best describes it. Then use the graph to estimate the time it would take Lucy to cover 3.5 miles.

Answer 1

You need to notice that Lucy was walking, and the first of your data that is very important is that Lucy covered 1 mile in 20 minutes. Then the graphs corresponding to the following names: quadratic 50 minutes and linear 140 minutes don't have any relation withe the distance and the time that Lucy covered.

Because we need to follow the next relation

`(20\text{ min, }1\text{ mile})`

Now, we only get two graphs that satisfy this relation the first one and the second one named by: linear; 70 minutes and quadratic; 30 minutes.

We assume that Lucy is walking and that he covered his first mile in 20 minutes, now we could think of the probability of cover another mile in the same time or perhaps less if she ran or if she took a different kind of transport like a car for example. You should notice that the second graph tells you that Lucy can cover in other 20 minutes about 5 miles more, it means that if we assume that Lucy is walking, then this graph doesn't have any sense.

So the correct answer is the first one.