Question

The length of a cell phone is 1, point, 81.8 inches and the width is 4, point, 84.8 inches. The company making the cell phone wants to make a new version whose length will be 1, point, 0, 81.08 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answer 1

To find the width of the new phone with a proportional size to the old model, we set up a proportion and solve for the new width, which is 2.88 inches.

Step-by-step explanation:

The student wants to know the width of a new phone model, given that the side lengths are proportional to the old phone model. The old phone has dimensions of 1.8 inches by 4.8 inches, and the new phone has a length of 1.08 inches. To find the width, we set up a proportion using the lengths and widths of the old and new phones. Since the lengths are proportional, we can write the following equation:

Old length / New length = Old width / New width

Substituting the known values:

1.8 / 1.08 = 4.8 / New width

To find the new width, we cross multiply and solve for the new width:

(1.8) * (New width) = (1.08) * (4.8)

New width = (1.08 * 4.8) / 1.8

Performing the calculation:

New width = 2.88 inches

Therefore, the width of the new phone model will be 2.88 inches.