40 points the total bear population in a certain area is represented by the function p=120(1.016)^t , where t is time in years. how could this function be rewritten to identify the weekly growth rate of the population? what is the weekly growth rate? drag and drop the choices into the boxes to correctly complete the table. if a value does not match, do not drag it to the table.

Step-by-step explanation:

1.

When trying to find the weekly rate, we need to simply divide the t by 52:

P =

2.

To find the weekly growth rate, we need to recall one of the indicies laws:

So the

Can be rearranged to:

Which gives the result:

120 x (

120(1.0003)

Or 120( 1 + 0.0003)

So the weekly growth rate is 0.0003 x 100 = 0.03

So it is 0.03%

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,