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<em><u>Question:</u></em>
Jenny is making tie-dyed shirts for her class with her school colors, blue and yellow. She used a total of 8 ounces of fabric paint. The amount of blue paint is 3 times the amount of yellow paint. Make a diagram to show the ratio of blue paint to yellow paint
<em><u>Answer:</u></em>
The ratio of blue paint to yellow paint is 3 : 1
<em><u>Solution:</u></em>
Let "x" be the amount of blue paint in ounces
Let "y" be the amount of yellow paint in ounces
<em><u>She used a total of 8 ounces of fabric paint</u></em>
Therefore,
x + y = 8 -------- eqn 1
<em><u>The amount of blue paint is 3 times the amount of yellow paint</u></em>
Amount of blue paint = 3 times the amount of yellow paint
x = 3y ------- eqn 2
<em><u>Substitute eqn 2 in eqn 1</u></em>
3y + y = 8
4y = 8
Divide both sides by 4
y = 2
<em><u>Substitute y = 2 in eqn 2</u></em>
x = 3(2)
x = 6
Therefore , the amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces
<em><u>Find the ratio </u></em>
To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint
Which means, of every 4 parts of paint, three parts are blue and one part is yellow
The diagram is attached below
Using an exponential function, it is found that there will be 32,866 pigeons in 13 years.
<h3>What is an exponential function?</h3>An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
The initial value and the growth rate are given by:
A(0) = 9520, r = 0.1.
Hence the function is given by:
Hence in 13 years, the amount of pigeons will be of:
More can be learned about exponential functions at brainly.com/question/25537936
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