Question

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 1

Here, we want to get the percentage increase or decrease

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

`\frac{new\text{ value -old value}}{\text{old value}}*\text{ 100 \%}`

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

`(13.26-12)/(12)*\text{ 100 \% = 10.5 \%}`

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

b) 40 to 26

`(26-40)/(40)*100\text{ \% = -35\%}`

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

c) 60 to 84

`(84-60)/(60)*100\text{ \% = 40 \%}`

This is 40% increase, and we use the pink

d) 12.5 to 18.75

`(18.75-12.5)/(12.5)*100\text{ \% = 50 \%}`

That is a 50% increase and we select the white

e) 50 to 37

`(37-50)/(50)*\text{ 100 \% = -26 \%}`

That is 26% decrease, and we select the blue