Question 5 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are 6 point 1 comma 12 point 0 , 5 point 0 comma 8 point 1 , 9 point 1 comma 15 point 2 , 6 point 5 comma 10 point 2 , 7 point 4 comma 11 point 3 and 10 point 9 comma 17 point 5 Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?
Answer
A
y is equal to 1 point 9 6 7 x plus 0 point 9 8 4
B
y is equal to 1 point 5 1 8 x plus 0 point 9 9 5
C
y is equal to 0 point 6 0 5 x plus 0 point 0 0 4
D
y is equal to 0 point 9 5 9 x plus 0 point 0 4 1
Explanation
The data show that length increases by about 1.5 centimeters for each additional centimeter of width, with lengths generally about 1 centimeter above 1.5 times the width. A line of best fit is therefore approximately y = 1.518x + 0.995. Choice B, y = 1.518x + 0.995, matches this relationship; the other choices have slopes that are too small or too large.
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