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Background Layout PERCENT OF CHANGE Directions 12 to 13.26 10.5% Increase: yellow 10.53 decrease: white 110.5% increase: pink decrease: green 65% decrease: yellow 40 to 26 35% decrease: blue Determine the percent of change and if there is an increase or decrease. Drag a round rectangle piece onto the answer. 35% increase: orange increase: white 60 to 84 140% increase: orange 140% decrease: red 71.4% increase: yellow increase: Pink 12.5 to 18.75 50% increase: white 150% increase: yellow 150% decrease: blue 50% decrease: green Go to the coloring page and follow the directions. coloring page NAME: 26% increase: 50 to 37 increase: pink 26% decrease: blue decrease: yellow

Answer :

Here, we want to get the percentage increase or decrease

At any point in time, we have the percentage change as;

[tex]\frac{new\text{ value -old value}}{\text{old value}}\times\text{ 100 \%}[/tex]

The key to know if there is an increase or a decrease is that if the old value is bigger than the new value, there is a decrease, but otherwise, there is an increase in percentage

a) 12 to 13.26

[tex]\frac{13.26-12}{12}\times\text{ 100 \% = 10.5 \%}[/tex]

The correct answer here is 10.5% increase, so we use the yellow

b) 40 to 26

[tex]\frac{26-40}{40}\times100\text{ \% = -35\%}[/tex]

This is a 35% decrease, so we select the blue

c) 60 to 84

[tex]\frac{84-60}{60}\times100\text{ \% = 40 \%}[/tex]

This is 40% increase, and we use the pink

d) 12.5 to 18.75

[tex]\frac{18.75-12.5}{12.5}\times100\text{ \% = 50 \%}[/tex]

That is a 50% increase and we select the white

e) 50 to 37

[tex]\frac{37-50}{50}\times\text{ 100 \% = -26 \%}[/tex]

That is 26% decrease, and we select the blue

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