Anew species of fish is released into a lake, and the fish multiply quickly. the growth of their population is modeled by the exponential function p(t) = 7bt, where t is the time in weeks after the release and b is a positive unknown base. after observing the population growth over a few weeks, the exponential function p(t) = 7(2)t is used to model the growth. interpret the significance of 2 in the function as it applies to the situation.

a) the population is doubling each week

b) the population is doubling each month

c) the population is counted every 2 weeks

d) the population is increasing by 2 fish each week

The answer is A

Step-by-step explanation:

So b is equal to a positive unknown base. With the other variables as unknown the first week is equal to 7, and the next week is equal to 14, and as t increases, so will the population.

i can you, i love poetry

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.