Question

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)

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

Answer 1

for number 2, set up the equations so that they're equal to each other, and solve for x

100 + 23x = 90(1.2x)

Answer 2

to solve for x would i divide both sides by 23x?

Answer 3

@AriPotta

Answer 4

no, you'd first multiply 90 and 1.2x

Answer 5

108x -- 100 + 23x = 108x right?

Answer 6

right. and now you wanna get rid of the 23x on the left, how should you do that?

Answer 7

division

Answer 8

no, we're not dividing yet because we have 2 x's in the equation and we don't want that. so because 23x is being added, we're going to subtract 23x from both sides

100 = 85x

Answer 9

now we can divide ;)

Answer 10

oh okay sorry. so now divide both sides by 85x?

Answer 11

well, divide both sides by 85

Answer 12

wait, sorry, what does the equation look like now?

Answer 13

100 = 85x

Answer 14

okay, just making sure. 1.17 = x?

Answer 15

i'd round up to 1.18, but yes :)

Answer 16

alright so that's part 2, right

Answer 17

yes that was 2

Answer 18

thank you, can you please help me with the rest? im absolutely stuck

Answer 19

could you open a new question? i don't like scrolling up and down so long

Answer 20

yea sure

Answer 21

alright thanks :)