Question

A photographer has a print that is 3. 5 inches wide and 2. 5 inches tall. If the photographer enlarges the print so that it is 7 inches wide, how tall will it be? 5 inches 6 inches 8 inches 12 inches.

Answer 1

Enlarging the print is an illustration of dilation and scale ratios

The print will be 5 inches tall

The dimension of the print is given as:

$\mathbf{Width = 3.5}$

$\mathbf{Height = 2.5}$

After the print is enlarged, the width is given as:

$\mathbf{Width = 7}$

To calculate the height (h) of the enlarged print, we make use of the following equivalent ratio

$\mathbf{3.5 : 2.5 = 7 : h}$

Multiply the ratio on the left-hand side by 2

$\mathbf{3.5 \times 2: 2.5 \times 2 = 7 : h}$

Simplify

$\mathbf{7: 5 = 7 : h}$

By comparing the ratios, we have:

$\mathbf{7 = 7}$

$\mathbf{5 = h}$

Rewrite as:

$\mathbf{h = 5 }$

Hence, the height of the print is 5 inches

Read more about dilations at:

https://brainly.com/question/13176891