Population Growth The projected populations of California for the years 2020 through 2060 can be modeled by where is the population (in millions) and is the time (in years), with corresponding to (Source: California Department of Finance). a. Use a graphing utility to graph the function for the years 2020 through 2060 . b. Use the table feature of the graphing utility to create a table of values for the same time period as in part (a). c. According to the model, in what year will the population of California exceed 51 million?

true !

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

answer:

1.14285714286

step-by-step explanation:

divide 40 into 35 and you will get your answer