(15 pts) Problem 3 Answer the following questions. (You do not have to show work.) A beekeeper keeps track population of honeybees. Let p(t) represent the number of honeybees
in the population t weeks after the beekeeper begins counting the population.
(a) Interpret the vertical and horizontal intercept of p(t). Clearly label your answer.
(b) what does p’(t) represent? If p’(10)=40, what is the unit for 10 and 40?
(c) what does

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

step-by-step explanation:

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3