Question

the length of a cell phone is 1.8 inches and the width is 4.8 inches. the company making the cell phone wants to make a new version whose length will be 1.08 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

Let the width of the new phone be $x$ inches. Since the side - lengths are proportional, we have the proportion $\frac{1.8}{4.8}=\frac{1.08}{x}$.

Step2: Cross - multiply

$1.8x = 1.08\times4.8$.

Step3: Calculate the right - hand side

$1.08\times4.8 = 5.184$. So, $1.8x=5.184$.

Step4: Solve for $x$

$x=\frac{5.184}{1.8}=2.88$.

Answer:

$2.88$ inches