Question

4. 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)
1. 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)
2. Use the table to determine at approximately which point the number of cells will be the same for each organism.

3. Graph the system of equations and sho

Answer 1

.4. 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)
1. 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)
2. Use the table to determine at approximately which point the number of cells will be the same for each organism.

3. Graph the system of equations and show the point of intersection.

4. Explain what the points graphed for each line represent.

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

6. Find the point(s) of intersection, and explain what the intersection represents in the context of the problem.
@bibby

Answer 2

As usual, the intersection is the point where the 2 equations are equal to each other. that should give you 5/6.

for 1, solve the different parts using a calculator and see which ones are equal

Answer 3

yea i did that and its shown . 2,3,4,5,6 are the ones that i need help with.

Answer 4

Can you post your work? I don't want to do the arithmetic.

Answer 5

ok

Answer 6

overv and over again.

Answer 7

I mean stuff like this:
100 + 115
90(2.48832)

I don't know if the two numbers are equal

Answer 8

oh
1.100(first) and 0(other)
2. 123 and 108
3. 146 and 126.6
4. 169 and 155.52
5. 192 and 186.624
6. 215 and 223.9488

Answer 9

ok so 2 wants us to approximate where the 2 equations will intersect. Do you have any ideas?

Answer 10

well maybe... well from this it doesnt look like they will meet...

Answer 11

if you look closer, they're getting closer as you get to 6. It starts off at 15 units, gets to 8 between 5 and 6

Answer 12

yea i didnt see that so hold on.

Answer 13

238 and 268.73856

Answer 14

Are those the next numbers?

Answer 15

yes

Answer 16

Yeah that confirms it. The intersection happens between 5 and 6. maybe 5.5 or so

Answer 17

ok so ill put 5.5