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Since it arrived at a safari park, a giraffe's height has increased from 8 [tex]\frac{1}{2}[/tex] feet to 12 [tex]\frac{3}{4}[/tex]. By what percent has the giraffe's height increased? PLZ show your work and explain.

A. 30%
B. 40%
C. 50%
D. 60%

Respuesta :

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:

Height of giraffe increases by [tex]50%\\[/tex]

Step-by-step explanation:

The initial height of giraffe is [tex]8\frac{1}{2}\\\frac{17}{2} \\[/tex]

The final height of giraffe is [tex]12\frac{3}{4} \\\frac{51}{4}\\[/tex]

Percentage increase in height

[tex](\frac{\frac{51}{4} - \frac{17}{2} }{\frac{17}{2} }) *100\\= 50\\[/tex]

The height of giraffe increases by [tex]50%\\[/tex]