Answer:
Part A: Number 3 increased by 250% = 10.5
Part B: Number 3 decreased by 100% = 0
Part C: Number 3 decreased by 150% = -1.5
Step-by-step explanation:
To calculate the increase or decrese
Let the original number is x and percentage increase or decrese is r%
So, of the number x is increased by r %:
The increase or the decrease will be ⇒ [tex]x *\frac{r}{100}[/tex]
The number after the increase will be [tex]x+ x *\frac{r}{100} = x( 1+\frac{r}{100} )[/tex]
The number after the decrease will be [tex]x- x *\frac{r}{100} = x( 1-\frac{r}{100} )[/tex]
For the g iven question:
Part A: What is 3 increased by 250%?
x=3 , r =250 ⇒ [tex]3( 1+\frac{250}{100} )[/tex] = 3 * 3.5 = 10.5
Part B: What is 3 Decreased by 100%?
x=3 , r =100⇒ [tex]3( 1-\frac{100}{100} )[/tex] = 3 * 0 = 0
Part C: What is 3 Decreased by 150%?
x=3 , r =100⇒ [tex]3( 1-\frac{150}{100} )[/tex] = 3 * -0.5 = -1.5
