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Ivenika [448]
3 years ago
5

You are working on an experiment where you want to test the effects of caffeinated beverages on the behavior of cats. You will t

est this by giving cats an expensive brand name cola. You will need exactly 2L of cola for your experiment. When you are at the store you see that you can buy a 2 liter bottle of cola for 2.25. Alternatively you can buy 500ml cans of cola. Each can costs 50 cents. Which of the following should you purchase to be the most cost effective?
A. 4 cans B. 1 bottle C. 2 bottles D. 1 can F. 2 cans G. 3 cans E. 5 cans
Mathematics
1 answer:
vichka [17]3 years ago
6 0
For the experiment, you need 2L of cola. Your first option would be to purchase 1 2L bottle of cola for $2.25. 

To calculate the second option, let's convert milliliters to liters first. There are 1,000 milliliters in 1 liter. With this, we know that there are 2,000 milliliters in 2 liters. Option 2 comes in 500-milliliter cans, which means that you would need 4 of them (2,000/500 = 4). 4 cans multiplied by $0.50 would cost you $2.00. 

Let's check the cost of your answer options.
A. 4 cans - As seen above, this would cost $2.00.
B. 1 bottle - From the question, we know this would cost $2.25.
C. 2 bottles - This would be more soda than you need and would cost $4.50 ($2.25x2)
D. 1 can - This would be .5L and not enough soda for the experiment.
E. 5 cans - This would cost $2.50, but would be an extra 500mL of soda.
F. 2 cans - This would only be 1L of soda and not enough for the experiment.
G. 3 cans - This would be 1.5L of soda and not enough for the experiment either.

For the best price option, you would choose A (four cans of soda). This would give you the amount of soda that you need at the lowest price.
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The linear equation that is asked from the problem takes the form of:

y = m x + b

where,

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x = the number of years

m = the slope of equation

b = y-intercept

 

The slope of the equation (m) can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

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The y-intercept is then obtained by using any of the data pair:

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Answer: 

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