Question

the length of a cell phone is 1.2 inches and the width is 4.8 inches. the company making the cell phone wants to make a new version whose length will be 1.68 inches. assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Explanation:

Step1: Set up proportion equation

Let new width = \( w \). Proportion: \( \frac{\text{new length}}{\text{old length}} = \frac{\text{new width}}{\text{old width}} \) → \( \frac{1.68}{1.2} = \frac{w}{4.8} \)

Step2: Calculate scale factor

Scale factor = \( \frac{1.68}{1.2} = 1.4 \)

Step3: Find new width

Multiply old width by scale factor: \( w = 4.8 \times 1.4 = 6.72 \)

Answer:

6.72 inches