When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there were only primitive marsupial competitors and predators to interfere with the exponential growth of their population. The data in the following table can be used to create a model of rabbit population growth. *** (table is in attached image) ***
1. Find the regression equation for the rabbit population as a function of time x.
2. Write the regression equation in terms of base e.
3. Use the equation from part b to estimate the time for the rabbits to exceed 10,000.

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation:

1.3 million hoops i believe

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.