Answer:
80%.
Step-by-step explanation:
Given:
Last year Michelle adopter a pet rabbit sence it was adopted the rabbit weight has increased from 1 1/4 to 2 1/4.
Question asked:
By what percentage has the rabbit weight increased ?
Solution:
As we know:
[tex]Percentage\ increased=\frac{New\ value-old\ value}{old \ value} \times100[/tex]
Old value = [tex]1\frac{1}{4} =\frac{4\times1+1}{4} =\frac{5}{4}[/tex]
New value = [tex]2\frac{1}{4} =\frac{4\times2+1}{4} =\frac{9}{4}[/tex]
[tex]Percent\ increased\ in\ weight=\frac{new\ weight-old\ weight}{old\ weight} \times100[/tex]
[tex]=\frac{\frac{9}{4}-\frac{5}{4} }{\frac{5}{4} } \times100\\ \\ =\frac{\frac{9-5}{4} }{\frac{5}{4} } \times100\\ \\ =\frac{\frac{4}{4} }{\frac{5}{4} } \times100\\ \\ =\frac{1}{{\frac{5}{4} } }\times100\\ \\ =\frac{4}{5} \times100\\ \\ =\frac{400}{5} \\ \\ =80\%[/tex]
Thus, weight of rabbit increased by 80%.
