Question

Help me please! I will give you a medal and a fan. I only need help with C-F!

Answer 1

In a biological lab, the cell growth rate of two different organisms is tracked and recorded each week. Given the growth rate, the number of organisms can be determined using the following equations:
s(x) = 100 + 23x
m(x) = 90(1.2x)

Complete the table of values.
x
100 + 23x
90(1.2x)
0
100+0
90(0)
1
100+23
90(1.2)
2
100+46
90(1.44)
3
100+69
90(1.728)
4
100+92
90(2.0736)
5
100+115
90(2.48832)
B. Use the table to determine at approximately which point the number of cells will be the same for each organism.
(I HAVE ALL ANSWERS ABOVE THIS)

C. Graph the system of equations and show the point of intersection.
D. Explain what the points graphed for each line represent.
E. Explain how you can determine the solution to the equation 100 + 23x = 90(1.2x) using the graph from part c.
F. Find the point(s) of intersection, and explain what the intersection represents in the context of the problem.

Answer 2

@ganeshie8 @hartnn

Answer 3

@shansha1

Answer 4

@Kainui

Answer 5

@Nnesha @Qwertty123

Answer 6

Someone please help

Answer 7

I think there is a mistake in your equation for \(m(x)\)

Shouldn't it be \[\large 90(1.2)^x\]

?

Answer 8

i don't think so because that is what I was given.

Answer 9

I didn't come up with it, it was given to me

Answer 10

Could you take a screenshot of the original question and attach ?

Answer 11

In a biological lab, the cell growth rate of two different organisms is tracked and recorded each week. Given the growth rate, the number of organisms can be determined using the following equations:

s(x) = 100 + 23x
m(x) = 90(1.2x)

Complete the table of values.
x 100 + 23x 90(1.2x)
0
1
2
3
4
5
Use the table to determine at approximately which point the number of cells will be the same for each organism.
Graph the system of equations and show the point of intersection.
Explain what the points graphed for each line represent.
Explain how you can determine the solution to the equation 100 + 23x = 90(1.2x) using the graph from part c.
Find the point(s) of intersection, and explain what the intersection represents in the context of the problem.

Answer 12

Thats the original question

Answer 13

I need you to take a screenshot and attach the pic here
I think some key information is lost while copy pasting

Answer 14

I just took it from the actual assignment. THIS IS ALL I AM GIVEN. My computer doesn't screenshot.

Answer 15

Then can you double check the m(x) equation

Answer 16

It is the one I was given. I cannot submit the wrong question that was given to me, it is what it is.

Answer 17

I want you check this one in particular :
```
m(x) = 90(1.2x)
```

Is that `x` really at the bottom and not at the upper right of 1.2 ?

Answer 18

It is in the upper right hand corner. But I cannot change this on my compter because it doesn't have the right tools to do so. The teacher knows this and knows what I mean.

Answer 19

When I copy and paste it turns into what is above and I can't change it.

Answer 20

You cannot write 1.2x when you mean 1.2^x.

Answer 21

you may use the up arrow to write exponent

Answer 22

Thre is one mistake in your table too

Answer 23

when x = 0 :

90(1.2^0) = 90(1) = 90

Answer 24

you have got 0 incorrectly for the same

Answer 25

double check..

Answer 26

I understand that, but when I copy it the arrow goes away. Lets move on please I know what to do for all the other questions except for the ones I asked for.

Answer 27

I do see the mistakes, But i can't do anything about them on here, only in my document. BU tin my document they are right.

Answer 28

Okay, what is your answer for part B ?

Answer 29

I already have that in my document. I only need C-F and help with one other small question.

Answer 30

I need to know the answer for part B before proceeding with Part c

Answer 31

My computer is irritating me hold on

Answer 32

It wont let me submit my answer to you

Answer 33

Nvm then
lets look at part c

Answer 34

`C. Graph the system of equations and show the point of intersection.`

Answer 35

you may use below site to graph the equations :

https://www.desmos.com/calculator

Answer 36

In that link enter below on the top left corner window :

```
y = 100 + 23x
```

Answer 37

for the second graph, enter
```
y = 90(1.2)^x
```

Answer 38

Ok. I can only type short answers on here which is making me irritated. How do I submit the graph though or download it to submit?

Answer 39

Here it is :
https://www.desmos.com/calculator/j0dgiia9xr

Answer 40

you will need to take a screenshot

Answer 41

Okay. I might have trouble with that, but can you help me with the rest of the questions?

Answer 42

`D. Explain what the points graphed for each line represent.`

Looks straightforward, have you tried answering this ?

Answer 43

The answer to that part is given in the question itself

Answer 44

` the cell growth rate of two different organisms is tracked and recorded each week. Given the growth rate, the number of organisms can be determined using the following equations: `

Answer 45

Something like this :

`the x coordinate of the points represent the week and the y coordinates represent the number of organisms in that week`

Answer 46

Okay, what about E and F

Answer 47

I also have one more question if you'd be willing to help after that. It is a small one.

Answer 48

@ganeshie8

Answer 49

`E. Explain how you can determine the solution to the equation 100 + 23x = 90(1.2x) using the graph from part c.``

The x coordinate of the intersection of the graphs is the solution to the equation 100 + 23x = 90(1.2)^x.
The graphs are intersecting at x = 4.4. So the solution is 4.4

Answer 50

That covers both E and F actually

Answer 51

Just add this for part E :
The graphs are intersecting at x = 4.4. So the solution is 4.4. This point represents the week in which both the organisms have same population.

Answer 52

Okay. can you help me with one more question that is much quicker?

Answer 53

A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 students each year since the school opened. A nearby public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year.
Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school.
a. Create the two functions to represent the situation.
b. Graph the system of equations to determine the the point of intersection.
c. Interpret the point of intersection in the context of the problem.

(I ONLY NEED HELP WITH C.)

Answer 54

The point of intersection determines the year in which both schools will have the same number of students

Answer 55

Thank you so much.

Answer 56

yw

Answer 57

@ganeshie8 For the graphing part of y=100+23 is there more to it? because it is just a flat line.