Question

use the diagrams to answer the question.
a photographer enlarged a picture. the enlarged picture has the same proportions as the smaller picture. what is the height of the enlarged picture?
6.3 inches
6.4 inches
7.5 inches
12.6 inches

Explanation:

Step1: Set up proportion

Since the pictures are proportional, \(\frac{\text{height}_1}{\text{width}_1}=\frac{\text{height}_2}{\text{width}_2}\). Let \(h\) be the height of the enlarged picture. So \(\frac{3.5}{5}=\frac{h}{9}\).

Step2: Cross - multiply

Cross - multiplying gives \(5h = 3.5\times9\).

Step3: Calculate \(3.5\times9\)

\(3.5\times9=(3 + 0.5)\times9=3\times9+0.5\times9 = 27+4.5=31.5\). So \(5h = 31.5\).

Step4: Solve for \(h\)

Divide both sides by \(5\), \(h=\frac{31.5}{5}=6.3\).

Answer:

A. 6.3 inches