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)

Answer 1

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. |

Answer 2

ok do they give you a coordinate plane to graph them on?

Answer 3

no im allowed to use desmos tho

Answer 4

ok i've never used desmos :s

Answer 5

it's easy, you insert the equation and it automatically graphs it and shows you point of intersection.

Answer 6

oh well there we go for number 3 lol

Answer 7

am i supposed to graph s(x) = 100 + 23x nd m(x) = 90(1.2x)?

Answer 8

yea

Answer 9

oh okay i can do that. how bout part 4?

Answer 10

so the x of a point means the time and the y means the number of organisms. so what can say for number 4?

Answer 11

um I could probably say the the x points represents time and the y points represent the amount or number of organisms.

Answer 12

is that good?

Answer 13

lol i'd say "each point on the lines represent the number of organisms after x amount time has passed"

Answer 14

amount of*

Answer 15

i have to go real quick. i'll try to be back asap. maybe 5 - 10 min

Answer 16

Okay

Answer 17

alright i'm back

Answer 18

wb

Answer 19

so where the lines intersect would be the solution

Answer 20

oh I see so that's for 5 (ty btw for ur help) how bout 6

Answer 21

so remember in part 2, we found out that x = 1.8? substitute 1.8 for x in either equation and solve for y to find the point of intersection

Answer 22

y = 100 + 23(1.8)

Answer 23

y = 141

Answer 24

if we didn't round to 1.8 and kept the long decimal, we'd get 127

Answer 25

so idk if they want 141 or 127

Answer 26

well im not sure bc the question actually was asking for an explanation - 6. Find the point(s) of intersection, and explain what the intersection represents in the context of the problem.

Answer 27

well we first had to find the point of intersection which was what we were trying to do here :/ it's either (1.8, 127) or (1.8, 141)

Answer 28

in context of the problem, the point of intersection means that after 1.8 time has passed, the two organisms have the same quantity, 127 (or 141)

Answer 29

i'll try to graph it on desmos and see if i get 127 or 141. what were the equations again

Answer 30

I think it'll be 127 tho

Answer 31

i graphed it using geogebra and i get (1.8, 127). but if they were expecting you to do it algebraically, then it would be (1.8, 141)

Answer 32

Oh okay so for the explaining part, would I say that the intersection is the solution to the context problem? i think im lost now

Answer 33

write this: "the point of intersection is (1.8, 127). in context of the problem, that means that after 1.8 time has passed, the two organisms have the same quantity, 127."

Answer 34

thank you so much for your help!

Answer 35

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Answer 36

nicee haha

Answer 37

:3