Question

7 the number of centimeters varies directly with the number of inches. find the measure of an object in centimeters if it is 50 inches long. inches, x 6 9 12 15 centimeters, y 15.24 22.86 30.48 38.10

Explanation:

Step1: Find the constant of variation (k)

Since \( y \) varies directly with \( x \), the formula is \( y = kx \). We can use one of the given pairs to find \( k \). Let's use \( x = 6 \) and \( y = 15.24 \).
\( k=\frac{y}{x}=\frac{15.24}{6}=2.54 \)

Step2: Use the direct variation formula to find \( y \) when \( x = 50 \)

Now that we know \( k = 2.54 \), the formula is \( y = 2.54x \). Substitute \( x = 50 \) into the formula.
\( y = 2.54\times50 = 127 \)

Answer:

127