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Answer:
Step-by-step explanation:
<u>Modeling With Functions </u>
We have a table of values of speeds vs distance taken for a car to stop. We are required to find a model that uses the square root and fits the given data to predict other values of d as a function of v.
By the nature of the problem, we can know that for v=0, d must be 0 too. So our model won't include a vertical shift or independent term. Being v the speed of the car and x the distance it takes to stop, we use the following model
We must find A to make the function fit the data. Let's use the first point (v,x); (20,9)
Solving for A
Then we have
Evaluating for v=35
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