Bluebook SAT Test Two-Variable Data: Models and Scatterplots 10

Question 1

Using the model y = −4x + 100, for what value of x does y = 0?

Accepted Answer

25

Answer

Set 0 = −4x+100 → 4x=100 → x=25.

Question 2

A scatterplot shows data points that curve upward steeply, consistent with y growing faster than any linear model. Which model is most appropriate?

Accepted Answer

Exponential

Answer

Data that curves upward and accelerates beyond linear growth is best described by an exponential model.

Question 3

A dataset has the best-fit line y = 1.5x + 4. A point at x = 6 has y_actual = 11. What is the residual?

Accepted Answer

-2

Answer

Predicted: y = 1.5(6)+4 = 9+4 = 13; residual = actual − predicted = 11−13 = −2.

Question 4

The scatterplot of temperature (x, °C) vs. snowfall (y, cm) shows a strong negative correlation. If x increases by 5°C, and the slope is −3, by how much does y change?

Accepted Answer

−15 cm

Answer

Change in y = slope × change in x = −3 × 5 = −15 cm.

Question 5

A linear model y = 0.6x + 12 describes the relationship between monthly rainfall (x, inches) and mushroom count (y). What does 12 represent?

Accepted Answer

The predicted mushroom count when rainfall is 0 inches

Answer

The y-intercept (12) is the predicted value of y when x = 0, meaning 12 mushrooms are expected even with no rainfall.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Two-Variable Data: Models and Scatterplots 10