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.
Store | Price Before Sale | Quantity Sold Before Sale | Sale Price | Quantity Sold During Sale |
Store A | $12.50 | 350 | $11.00 | 400 |
Store B | $13.25 | 260 | $10.00 | 520 |
Store C | $11.75 | 550 | $9.50 | 625 |
Store D | $14.00 | 220 | $10.25 | 460 |
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) + b → b ≈ 17.4
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