THe chart for my last post

Median : 23

Mode: 11 and 24

Range: 28

Step-by-step explanation:

A stem-and- leaf plot is a very special table where each " value" is split into a stem.

Basically the stem is the foirst value of the number and the leaves are the last digits.    

Example: A stem of 1 and a leaf of 1 has a value of 11.

               A stem of 1 and a leaf of 2 has a value of 12.

In this case the numbers in the plot are:

11, 11, 12, 13, 14, 15, 22, 23, 24, 24, 27, 32, 35, 37, 39

The questions are :

To answer the first question, you need to list them in order.

Then find the center of those numbers. Cross out one number from the left and the right and keep doing it until there is only one ot two numbers.

One number- that is the median

two numbers left - find the mean of the two numbers and that is the median

So in this case the median is 23 crossing out seven numbers on each side.

To answer the second question, you need to find the number that comes up the most. In this case, 11 and 24.

To answer the third and last question, you need to find the mininum value and the maximum and find the difference.

In this case, 11 and 39, the difference is 28.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !