Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures

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2 months ago

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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 (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?
A. y = 0.605x + 0.004
B. y = 0.959x + 0.041
C. y = 1.518x + 0.995

Mathematics

2 answers:

zzz [12.3K] · Answer 1 · 2026-03-08T19:16:56+03:00

I appreciate you bringing your question here. I trust this answer will be beneficial to you. Don't hesitate to inquire further.

To find the length, in centimeters, of a "typical" rectangle based on a specified width in centimeters, Darius could utilize the equation <span>y=1.518x+0.995</span>

PIT_PIT [12.4K] · Answer 2 · 2026-03-08T19:14:54+03:00

Answer:

Choice A

Detailed explanation:

Darius is investigating how mathematics relates to art. He has asked his friends to draw a "typical" rectangle, where the width is represented by x, and the length by y.

x y

6.1 12

5 8.1

9.1 15.2

6.5 10.2

7.4 11.3

10.9 17.5

Slope 0.605311851

Y-Intercept 0.004221583

The regression formula can therefore be expressed as

y = 0.605x + 0.004

Thus, Option A is the correct choice.