The number of bacteria in a petri dish is 50,000 (on day 0) if the amount is doubling each day by when will the number of bacter
ia be 400,000. Let x represent the number of days and f(x) represent the amount of bacteria. Write an equation.
1 answer:
Answer:
Step-by-step explanation:
<u>Given:</u>
- Initial amount of bacteria = 50000
- Growth rate = 2 times a day
<u>Required equation:</u>
<u>Solve for x:</u>
- 400000 = 50000*2^x
- 2^x = 400000/50000
- 2^x = 8
- 2^x = 2^3
- x = 3
After 3 days bacteria numbers will reach 400000
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We can use the subtraction method to solve this:
3x - 5 ≥ 4
x + 1 ≥ 2
2x - 6 ≥ 2
2x ≥ 8
The solution set is x ≥ 4
Y = 2/3x + 3
If x = 3, plug it in the equation to find y for (3 , y)
y = 2/3(3) + 3
y = 6/3 + 3
y = 2 + 3
y = 5
(3 , 5)
