17. MODELING WITH MATHEMATICS The data pairs (x, y) represent the average annual tuition
y (in dollars) for public colleges in the United States
x years after 2005. Use the linear regression feature
on a graphing calculator to find an equation of the
line of best fit. Estimate the average annual tuition
in 2020. Interpret the slope and y-intercept in this
situation. (See Example 4.)
(0, 11,386), (1, 11,731), (2, 11,848)
(3, 12,375), (4, 12,804), (5, 13,297)

Average annual tuition is $16991 for the year 2020.

Step-by-step explanation:

By using excel for the equation of the line of best fit,

Slope of the line from given data = 380.0286

y - intercept of the line = 11290.1

Therefore, equation of the regression line will be,

y = 380.0286x + 11290.1

Where x = number of years after 2005

Now we have to calculate the average annual tuition in the  year 2020,

By substituting the value of x = 2020 - 2005

                                                 = 15 years

y = 380.0286×(15) + 11290.1

y = 16990.529

  ≈ 16991

Therefore, average annual tuition is $16991 for the year 2020.

coin flip

non-answer:

choosing

sorry if this isnt what you're looking for i dont really understand the question

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )