An electrician needs to buy 1,836 light bulbs. The light bulbs come in packages of 9. How many packages should the electrician b
2 answers:
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Answer:
a)
b)
3,814,698
c)
16.08 weeks
Step-by-step explanation:
a)
The question presented here is similar to a compound interest problem. We are informed that there are 400 rice weevils at the beginning of the study. In a compound interest problem this value would be our Principal.
P = 400
Moreover, the population is expected to grow at a rate of 150% every week. This is equivalent to a rate of interest in a compound interest problem.
r = 150% = 1.5
The compound interest formula is given as;
We let y be the weevil population in any given week x. The formula that can be used to predict the weevil population is thus;
b)
The weevil population 10 weeks after the beginning of the study is simply the value of y when x = 10. We substitute x with 10 in the equation obtained from a) above;
Therefore, the weevil population 10 weeks after the beginning of the study is approximately 3,814,698
c)
We are simply required to determine the value of x when y is
1,000,000,000
Substitute y with 1,000,000,000 in the equation obtained in a) above and solve for x;
First divide both sides by 2 so that we can get rid of the parentheses, so we get
now subtract 5 from both sides
then finally we want x alone so we'll divide both sides by 3 and get our final answer!
now subtract 5 from both sides
then finally we want x alone so we'll divide both sides by 3 and get our final answer!