A survey of a class of 23 third-graders showed their favorite school lunch. Here is a table of the data. School Lunch

Pizza

Spaghetti

Chicken Nuggets

Hamburger

Sandwich

Students

6

5

2

4

6

Mica created a bar graph to assist in analyzing the data set.

Bar graph with title Favourite School Lunch and x-axis with values of Pizza, Spaghetti, Chicken Nuggets, Hamburger, and Sandwich and y-axis labeled Students with values 0 to 7. Pizza bar going up to 6, Spaghetti bar going up to 4, Chicken Nuggets bar going up to 2, Hamburger bar going up to 5, and Sandwich bar going up to 6.

Part A: Did Mica create the bar graph correctly? Why or why not? (6 points)
Part B: Which type of display would be best to analyze these data? Explain your choice. (4 points) (10 points)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

the answer is d

hope this

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation: