On a yardstick with scales in inches and centimeters, you notice that 11 inches is approximately the same length as 33 centimeters.Use this information to find a mathematical model that relates centimeters y to inches x.Then use the model to find the numbers of centimeters in 60 inches and 70 inches.(Round your answer to one decimal place.)
A)Model: y = $\frac { 1 } { 3 }$ x; 20 cm, 23.3 cm
B)Model: y = 3x; 180 cm, 23.3 cm
C)Model: y = 3x; 20 cm, 210 cm
D)Model: y = 3x; 180 cm, 210 cm
E)Model: y = $\frac { 1 } { 3 }$ x; 180 cm, 210 cm

Question

On a yardstick with scales in inches and centimeters, you notice that 11 inches is approximately the same length as 33 centimeters.Use this information to find a mathematical model that relates centimeters y to inches x.Then use the model to find the numbers of centimeters in 60 inches and 70 inches.(Round your answer to one decimal place.)  
A)Model: y = $\frac { 1 } { 3 }$ x; 20 cm, 23.3 cm
B)Model: y = 3x; 180 cm, 23.3 cm
C)Model: y = 3x; 20 cm, 210 cm
D)Model: y = 3x; 180 cm, 210 cm
E)Model: y = $\frac { 1 } { 3 }$ x; 180 cm, 210 cm

Quizplus · Accepted Answer

Given that 11 inches is approximately the same length as 33 centimeters, the conversion factor from inches to centimeters is 3 (since 33 cm / 11 in = 3 cm/in). Therefore, the model is y = 3x. For 60 inches, y = 3*60 = 180 cm, and for 70 inches, y = 3*70 = 210 cm.

On a Yardstick with Scales in Inches and Centimeters, You 13\frac { 1 } { 3 }31​

On a Yardstick with Scales in Inches and Centimeters, You $\frac { 1 } { 3 }$