SAT question 7ac5d686 (Two-variable Data Models And Scatterplots)

Question

An inspector begins a day of work with a large sample of shirts that need to be checked for defects. The inspector works at a constant rate throughout the morning. What type of model is best to model the number of shirts remaining to be checked for defects at any given time throughout the morning?

27

Difficulty:Medium

A

A linear model with a positive slope

B

A linear model with a negative slope

C

An exponential growth model

D

An exponential decay model

College Board · Accepted Answer

The correct answer is B. Choice B is correct. Since the work is done at a constant rate, a linear model best models the situation. The number of shirts remaining is dependent on the length of time the inspector has worked; therefore, if the relationship were graphed, time would be the variable of the horizontal axis and the number of remaining shirts would be the variable of the vertical axis. Since the number of shirts decreases as the time worked increases, it follows that the slope of this graph is negative.

CookSAT · Answer

Note: The constant rate means the number of shirts decreases by the same amount each hour, so the graph is a straight line going downward.

Explanation

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Why the other choices are wrong

SAT Question 7ac5d686: Two-variable Data Models And Scatterplots answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong