Question

please can someone help will medal

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
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 2

@Hero

Answer 3

@kade_sonix @shamil98

Answer 4

@Hero

Answer 5

what is this

Answer 6

algebr 1. system of equations

Answer 7

@campbell_st

Answer 8

so how far have you gotten with the table...?

Answer 9

don't you just plug in those numbers for x to make the table

Answer 10

havent even begin. i really need help with it

Answer 11

can I check, is

\[m(x) = 90(1.2^x)\]

or

\[m(x) = 90(1.2x)\]

Answer 12

@JoannaBlackwelder

Answer 13

its m(x)=90(1.2^x)

Answer 14

ok.. and

S(x)= 100 + 23x

no power of x....is that correct...

Answer 15

ya

Answer 16

ok... so substitute x = 0 into each equation

\[s(0) = 100 + 23 \times 0 = 100\]

and

\[M(0) = 90(1.2^0) = 90\]

so you need to put the values s(0) = 100 and m(0) = 90 into the table

next repeat the process with x = 1

s(1) = 100 + 23 x 1 = 123

\[m(1) = 90(1.2^1) = 108\]

hope it all helps
put those values into the table

repeat the process from x = 2

s(2) = 100 + 23 X 2 = 146

\[m(2) = 90(1.2^2) = 129.6\]

keep repeating the process for each vallue of x in the table...

then plot the points..

each point gives the population s(x) or m(x) for different time values

so (0, 100) means that for s(x) the initial population of organisms was 100.
(1, 123) after 1 time period the population grew to 123...

same thing for m(x)

the solution to the problem is the point where the 2 lines intersect. This will be the time period when the populations of organisms is the same.

Answer 17

okay but how about part b c d e f

Answer 18

read the notes for B, C, D and E

Answer 19

but before you answer C, D, E

plot the curves

you can use
https://www.desmos.com/calculator

Answer 20

ok i just did. and they really confuse me. can you please tell me how to get the answeres

Answer 21

ok... so plot the point or use graphing software to get the curves

Answer 22

i dont know how to use it . soory. can you do it for me.

Answer 23

please dont give up on me @campbell_st i really need to do this

Answer 24

@oleg3321, you have to be able to do some of the work on your own. It's not the responsibility of helpers here to do ALL the work for you. If that's what your intent is, then yahoo answers may be more appropriate for your needs.

Answer 25

no i actually want help and thats why im answering to the questions he askes.

Answer 26

@campbell_st can you still help me please

Answer 27

ok... so here is the graph... complete with the points

Answer 28

so to finish the graph it would be all those points in the graph right?

Answer 29

@campbell_st

Answer 30

well it you plot the points from the table... and then put then on the graph... you get the graphs I've posted.

Answer 31

sorry im kinda slow right now.so then,what would be th answer for a . @campbell_st

Answer 32

for (a) you would need to complete the tables...

which requires you to substitute

x = 0 into both equations and record the answers

then

x = 1 into both equations and record the answers

then

x = 2 into both equations and record the answers...

repeat the process upto x = 5

thats what part (a) build the table of values

then approximate the point where the values are equal.

Answer 33

@campbell_st is that correct

Answer 34

well you're 1st value for m(x) is incorrect

if

\[m(x) = 90(1.2^x)\]

then

\[m(0) = 90 \times 1.2^0 = 90\]

Answer 35

so i did every thing wrong?

Answer 36

@campbell_st

Answer 37

nope.. just m(0)

the rest seem ok

Answer 38

did you mean like that

Answer 39

thats correct

Answer 40

go back and look at the file I attached... its the graphs of both curves... and the points in your table are shown on each individual curve....

Answer 41

it says "Use the table to determine at approximately which point the number of cells will be the same for each organism." how do i find that @campbell_st