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WOW! I must be half asleep or something! I'm soooo sorry, I made the equation for 24 cans of soup instead of 15.

(0.99/3)x15

There. Lol, I need to go get some coffee.
Dec 5, 2013
 #1
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If 3 cans of soup costs $0.99 than take $0.99 and divide it 3 ways.

0.99/3

That gives you the price-per-can. Then, to find how much 24 cans will cost, take the answer to the previous problem and multiply it by 24.

(0.99/3)x24

And that gives you the answer.

^_^ Hope it helps!
Dec 5, 2013
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Hey there, Imani. I don't have much experience with exponential growth functions, but let me see if I can help at all.

The equation that I learned for an exponential growth function is :

y= a (1+r)^x

Where 'a' is the original amount, 'r' is the rate of growth (often a percent in decimal form), x is the number of time intervals, and y is the final answer. When the interest is compounded continuously the equation becomes:

y= a e^rt

y, a, r, and t all stay the same; and 'e' stands for Euler's number which is approximately 2.718281828 and can be used in equations like this to represent continuous growth or decay. There should be an 'e' button on your calculator that you should use to be more exact in you calculations than just "2.71828...." and it's easier than memorizing it.

Now you can plug your numbers into the equation and solve the problems.

a.) What is the exponential growth function in terms of P and 0.03?

'P' is the amount of money invested, so 'P' would be 'a' in our equation. and 0.03 would be the growth rate, 'r'.

y= p e^0.03t

(Please, someone correct me if I didn't read that problem right.)

b.) if $6000 is invested what is the balance after 4 years?

$6000 is the amount invested so it replaces 'a', 4 years is how long it was invested so it replaces 't'.

y= $6000 e^0.03(4)

I'll let you finish that equation.

c.) when will an investment of $6000 double itself?

For this, $12,000 ($6000x2) is the final answer so it goes is 'y's place. and the unknown in this problem is how many years, or 't'.

$12000 = $6000 e^0.03(t)

You can finish that one as well.

I hope that helped, let me know if I forgot something.

^_^
Dec 5, 2013
Dec 4, 2013

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