Respuesta :
well, from 1.5 to 6 is a 4.5 difference.
now, if we take 1.5 to be the 100%, what is 4.5 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1.5&100\\ 4.5&p \end{array}\implies \cfrac{1.5}{4.5}=\cfrac{100}{p}\implies p=\cfrac{4.5\cdot 100}{1.5}[/tex]
now, if we take 1.5 to be the 100%, what is 4.5 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1.5&100\\ 4.5&p \end{array}\implies \cfrac{1.5}{4.5}=\cfrac{100}{p}\implies p=\cfrac{4.5\cdot 100}{1.5}[/tex]
The percent of increase from 1.5 inches to 6 inches will be from 1.5 to 6 is a 4.5 difference.
To find: The percent of increase from 1.5 inches to 6 inches.
Now we will take 1.5 to be the 100% then what will be 4.5 off of it in percentage?
We will write in systematic way,
[tex]\rm \dfrac{Amount}{}\;\;\;\;\;\;\dfrac{\%}{} \ \\ \dfrac{}{}1.5\;\;\;\;\;\;\;\;\;\;\;\;\;\;100\\ \dfrac{}{}4.5\;\;\;\;\;\;\;\;\;\;\;\;\;\;p[/tex]
On simplifying according to the formula further we get,
[tex]\rm \longrightarrow \dfrac{1.5}{4.5}=\dfrac{100}{p}\\\\\rm \longrightarrow p= \dfrac{4.5 \times 100}{1.5}[/tex]
Therefore, The percent of increase from 1.5 inches to 6 inches will be from 1.5 to 6 is a 4.5 difference.
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