SAT question 5c24c861 (Two-variable Data Models And Scatterplots)

Question

A study was done to determine a new car's stopping distance when it was traveling at different speeds. The study was done on a dry road with good surface conditions. The results are shown below, along with the graph of a quadratic function that models the data.

According to the model, which of the following is the best estimate for the stopping distance, in feet, if the vehicle was traveling $55$ miles per hour?

College Board · Accepted Answer

The correct answer is C. Choice C is correct. According to the model, the stopping distance, in feet, of a vehicle traveling 55 miles per hour is about 200 feet. Of the choices given, the best estimate of the stopping distance for a car traveling 55 miles per hour is 210 feet.

CookSAT · Answer

Note: The quadratic regression fits the stopping-distance model, then evaluating it at 55 gives 206.25, closest to 210.

Explanation

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Why the other choices are wrong

SAT Question 5c24c861: Two-variable Data Models And Scatterplots answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong