Slope of a Line — Quiz

Question 6 • Mathematics I

Which function shows a fabric with a price of 1 point 2 5 dollars per square yard?

Answer

Price of Fleece Table with 5 columns and 2 rows.Row 1: Column 1, 'Square Yards'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'Price'; Column 2, '1 point 2 5 dollars'; Column 3, '2 point 0 0 dollars'; Column 4, '2 point 7 5 dollars'; Column 5, '3 point 5 0 dollars'

Image with description A line graph titled Price of Fleece. The x-axis is labeled Number of Square Yards from 1 to 10 in increments of 1, and the y-axis is labeled Price in dollars from 1 to 10 in increments of 1. A straight line with a positive slope passes through approximately the points 1 comma 0.8, 5 comma 4, and 10 comma 8.

Price of Fleece Table with 5 columns and 2 rows.Row 1: Column 1, 'Square Yards'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'Price'; Column 2, '0 point 2 5 dollars'; Column 3, '1 point 2 5 dollars'; Column 4, '2 point 2 5 dollars'; Column 5, '3 point 2 5 dollars'

Explanation

A price of $1.25 per square yard means the price should be about $1.25 times the number of square yards. In choice C, the graph passes near (4, $5) and (8, $10): $5 ÷ 4 = $1.25 and $10 ÷ 8 = $1.25 per square yard. So choice C shows the fabric with the stated price.

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