You will model a geometric sequence with an exponential function, graph the function, and make predictions.

in 2013, scientists began an annual count of butterflies in elliot park. that year, they counted 125 butterflies. in subsequent years, the scientists recorded an increase in the park’s butterfly population at a rate of 20% each year. based on this information, answer the following questions.

fill in the table with the values for the population of butterflies. show how you found each year’s population of butterflies.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

a .4y4

hope this !

28

step-by-step explanation:

because that's the answer

the answer is mp

step-by-step explanation: