Ryo accidentally ordered 240% as many eggs as his restaurant needed. What fraction of the number of eggs his restaurant needs di
1 answer:
Answer:
Ryo ordered of the amount of eggs his restaurant needed
Step-by-step explanation:
Let's call z the number of eggs the restaurant needs
Ryo ordered 240% of the eggs he needed. Then Ryo ordered:
z.
This fraction can be simplified by dividing by 10 in the numerator and denominator.
Then it is:
It can be further simplified by dividing by 2 in the numerator and denominator:
z
Ryo ordered of the amount of eggs his restaurant needed
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The number of months until the insect population reaches 40 thousand is 14.29 months and the limiting factor on the insect population as time progresses is 250 thousands.
Given that population P(t) (in thousands) of insects in t months after being transplanted is P(t)=(50(1+0.05t))/(2+0.01t).
(a) Firstly, we will find the number of months until the insect population reaches 40 thousand by equating the given population expression with 40, we get
P(t)=40
(50(1+0.05t))/(2+0.01t)=40
Cross multiply both sides, we get
50(1+0.05t)=40(2+0.01t)
Apply the distributive property a(b+c)=ab+ac, we get
50+2.5t=80+0.4t
Subtract 0.4t and 50 from both sides, we get
50+2.5t-0.4t-50=80+0.4t-0.4t-50
2.1t=30
Divide both sides with 2.1, we get
t=14.29 months
(b) Now, we will find the limiting factor on the insect population as time progresses by taking limit on both sides with t→∞, we get
(c) Further, we will sketch the graph of the function using the window 0≤t≤700 and 0≤p(t)≤700 as shown in the figure.
Hence, when the population P(t) (in thousands) of insects in t months after being transplanted by P(t)=(50(1+0.05t))/(2+0.01t) then the number of months until the insect population reaches 40 thousand 14.29 months and the limiting factor on the insect population is 250 thousand and the graph is shown in the figure.
Learn more about limiting factor from here brainly.com/question/18415071.
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