Apopulation is originally 100 individuals, but because of the combined effects of birth and deaths, it tiples each hour.

a. make a table of the population size for t-0 to 5, where t is measured in hours.

b. give two equations modeling the population growth by first expressing p[t+1] in terms of pt] and then expressing ap in terms of plt)

c. what, if anything, can you say about the birth and death rates for this population?

Step-by-step explanation:

Given that a population  is originally 100 individuals, but because of the combined effects of birth and deaths, it tiples each hour.

a)  

tP(t)

0100

1300

2900

32700

48100

524300

672900

7218700

8656100

91968300

105904900

b) P(t+1) = 3 P(t)

Generally these form a GP

Hence

c) Since population is tripling we say death rate is very small compared to birth rate such that births-deaths = 3 times the existing population.

robert puts 2 in each row

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.