Question

maci has a family photograph with a width of 4 in and a height of 6 in. she wants to enlarge the photograph so that its width is 10 in. what will the height of the enlarged photograph be?
a. 13 in
b. 15 in
c. 12 in
d. 14 in

Explanation:

Step1: Set up proportion

Since the photograph is enlarged proportionally, we have $\frac{\text{original width}}{\text{original height}}=\frac{\text{new width}}{\text{new height}}$. Let the new height be $h$. So, $\frac{4}{6}=\frac{10}{h}$.

Step2: Cross - multiply

Cross - multiplying gives $4h = 6\times10$.

Step3: Solve for $h$

$4h=60$, then $h=\frac{60}{4}=15$.

Answer:

B. 15 in