Question

question 9 (8 points) julias cell phone is 3.5 inches long. how many centimeters long is her phone? (1 inch = 2.54 cm) cm blank 1: question 10 (4 points) complete the ratio table below. x y 3 4 6 12 blank 1: blank 2:

Explanation:

Step1: Set up the conversion formula

We know that \(1\) inch \( = 2.54\) cm. To convert \(3.5\) inches to centimeters, we use the formula \(y=kx\), where \(k = 2.54\) (the conversion factor) and \(x = 3.5\) (the length in inches). So the equation is \(y=2.54\times3.5\).

Step2: Perform the multiplication

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For the ratio table:

Step1: Find the ratio

The ratio of \(x\) to \(y\) is \(\frac{x}{y}=\frac{3}{4}\).

Step2: Find \(y\) when \(x = 6\)

Let \(y_1\) be the value when \(x = 6\). Using the proportion \(\frac{3}{4}=\frac{6}{y_1}\), cross - multiply: \(3y_1=4\times6\), so \(y_1=\frac{24}{3}=8\).

Step3: Find \(x\) when \(y = 12\)

Let \(x_1\) be the value when \(y = 12\). Using the proportion \(\frac{3}{4}=\frac{x_1}{12}\), cross - multiply: \(4x_1=3\times12\), so \(x_1 = 9\).

Answer:

Question 9: \(8.89\)
Question 10: Blank 1: \(8\), Blank 2: \(9\)