PSAT Math Multiple-Choice Practice Question 822

Question: 822

The following questions refer to the information in the table below. A company has four different stores at four different locations throughout a large city. The company gathered data on the initial prices, sale prices, and respective quantities sold of a particular item.

StorePrice Before SaleQuantity Sold Before SaleSale Price Quantity Sold During Sale
Store A$12.50350$11.00400
Store B$13.25260$10.00520
Store C$11.75550$9.50625
Store D$14.00220$10.25460

If a line were graphed using the quantity sold in Store D as the x-value and the price from Store D as the y-value, what would be closest to the y-intercept of the line?

Correct Answer: C

Explanation:

(C) Calculate the slope of the line:

Then create an equation for the line in slope-intercept form (y = mx + b) and solve for the y-intercept:

y = -0.015625x + b

Substitute a set of values from Store D to solve for b:

14 = (-0.015625 × 220) + bb ≈ 17.4

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