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Okay, so I have two practice questions that I am really struggling with.

1. An unknown artist painting was worth $85 in 1978. As the artist grew in popularity, the value of this painting grew in value at the rate of 9% per year.
A) Write an equation to represent the value (y) in dollars of the painting as a function of the number of years (c) since 1978?

2. Caffeine found in pop, coffee, and tea; travels in your bloodstream after you consume it. After you drink a beverage that contains caffeine, 13% of the caffeine in your bloodstream is removed every hour. *Initially 100% is present, so A=100.
A) Write an equation to represent the percent of the caffeine (y) that remains in your bloodstream (x) hours after you drink it?

Thank you much and your help is very appreciated!
 Jan 21, 2014
 #1
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Hi tannawirsch,

1. An unknown artist painting was worth $85 in 1978. As the artist grew in popularity, the value of this painting grew in value at the rate of 9% per year.
A) Write an equation to represent the value (y) in dollars of the painting as a function of the number of years (c) since 1978?

y=85(1+0.09) c

Now you think about why this is so. What will it be worth after 1 year, after 2 years, what is the pattern.

2. Caffeine found in pop, coffee, and tea; travels in your bloodstream after you consume it. After you drink a beverage that contains caffeine, 13% of the caffeine in your bloodstream is removed every hour. *Initially 100% is present, so A=100.
A) Write an equation to represent the percent of the caffeine (y) that remains in your bloodstream (x) hours after you drink it?

y=(1-0.13) x
 Jan 21, 2014
 #2
avatar+39 
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Thank you SO much for your help! Although I've got one question about this.

I tried to put it into a graph and it doesn't work. I need an equation that is able to be used in a graph.

Sorry, I should have mentioned that earlier.
 Jan 21, 2014
 #3
avatar+118667 
0
tannawirsch:

Thank you SO much for your help! Although I've got one question about this.

I tried to put it into a graph and it doesn't work. I need an equation that is able to be used in a graph.

Sorry, I should have mentioned that earlier.



Hi again tannawirsch,

Why can't you graph it?

They are both in the positive quadrant only.
The first one has c on the horzontal axis, the second on has x on th horizontal axes.
They both have y on the vertical axis.

For the first one start c=1,c=2, etc and calculate the y value that goes with it and then graph.

For the second one the y axis has to go from 0 to 100%
Work out some points starting with x=0,x=1, etc and calculate the y values that go with them and then graph it.
 Jan 21, 2014
 #4
avatar+39 
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I have tried over and over again to try and graph it but in the end it doesn't work.

Part of the question states to create a graph using the values from (c) from 0 to 12, but as I replace (c) with numbers from 0 to 12, I end up with straight horizontal line across the graph.
 Jan 31, 2014
 #5
avatar+118667 
0
Ok

Question1 - This is the graph.

140131 exp graph.JPG
 Jan 31, 2014
 #6
avatar+39 
0
Okay, thank you much.
 Jan 31, 2014

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