# SAT Math Multiple Choice Question 849: Answer and Explanation

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**Question: 849**

**9.**

Which of the following equations best models the data shown in the scatterplot above?

- A.
- B.
- C.
- D.

**Correct Answer:** C

**Explanation:**

**C**

**Difficulty:** Medium

**Category:** Problem Solving and Data Analysis / Scatterplots

**Strategic Advice:** Whenever you need to match data to a model, use the trend (shape) of the data to determine the *type* of model (linear, exponential, quadratic, or polynomial), and then use specific data points (if needed) to identify the best choice.

**Getting to the Answer:** The trend of the data shown in the scatterplot is increasing, slowly at first and then much more quickly, which indicates an exponential model. This means you can eliminate A and D (both are linear). To choose between B and (C), choose a data point (preferably one that lies on a grid-line and represents whole number values) and test it in each answer choice. Avoid *x* = 0 and *x* = 1 because those numbers have special properties when exponents are involved. Using the point (3, 4), the results are:

Eliminate B, making (C) the correct choice. If you're still unsure, you can check (C):