Question

Since it arrived at a safari park, a giraffe's height has increased from 8 7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1}{2}" align="absmiddle" class="latex-formula"> feet to 12 $\frac{3}{4}$. By what percent has the giraffe's height increased? PLZ show your work and explain.
A. 30%
B. 40%
C. 50%
D. 60%

Answer 1

It's A.

8 1/2 ÷12 3/4 × 100 = 66.66667%
100% - 66.66667% = 33.33333%

This wasn't an option, but the closest estimate to this is: 30%, so it's A.

Answer 2

Answer:

Height of giraffe increases by $50%$

Step-by-step explanation:

The initial height of giraffe is $8\frac{1}{2}\\\frac{17}{2}$

The final height of giraffe is $12\frac{3}{4} \\\frac{51}{4}$

Percentage increase in height

$(\frac{\frac{51}{4} - \frac{17}{2} }{\frac{17}{2} }) *100\\= 50$

The height of giraffe increases by $50%$