Question

The number of centimeters y in a linear measurement varies directly with the number of inches x in the measurement. Preston's height is 152.4 centimeters or 60 inches. What is Marsha's height in centimeters if she is 64 inches tall?

Answer 1

To find Marsha's height in centimeters, we can use the given information that the number of centimeters varies directly with the number of inches. Setting up a proportion, Marsha's height is approximately 162.56 cm.

Step-by-step explanation:

To find Marsha's height in centimeters, we can use the given information that the number of centimeters y varies directly with the number of inches x. We can set up a proportion using this relationship:

y/152.4 = x/60

Since Marsha's height is 64 inches, we substitute x = 64 into the proportion and solve for y:

y/152.4 = 64/60

y = (64/60) * 152.4

y ≈ 162.56 cm