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

Option A

Step-by-step explanation:

Given that Darius is studying  the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. x the length, y the width are known.

xy

6.112

58.1

9.115.2

6.510.2

7.411.3

10.917.5

slope0.605311851

Intercept0.004221583

Hence regression equation would be

y = 0.605x +0.004

Option A is the right answer

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm