DO NOT ANSWER WITHOUT SHOWING YOUR WORK 2. A supermarket display consists of boxes of cereal. The bottom row has 33 boxes. Each row has five fewer boxes than the row below it. The display has six rows.

(a) Write and use a function to determine how many boxes are in the top row. Show your work.

(b) Use the appropriate formula to determine the number of boxes in the entire display. Show your work

a. f(x)=58-5(x-1); there are 58 boxes in the top row.

b. 273 boxes

Step-by-step explanation:

There are 33 boxes at the bottom row, and there are 5 fewer boxes than the row before it meaning that each row above the bottom row has five more boxes than the one below it.

Basically:

bottom row (with 33 boxes) -->5th row-->4th row-->3rd row-->2nd row-->1st row

each arrow adds five boxes, so if you add 5 boxes for each arrow, there is a total of 58 boxes on the 1st row.

check:

2nd row:

f(x)=58-5(x-1)

f(2)=58-5(2-1)

f(2)=58-5(1)

f(2)=58-5

f(2)=53

and we know that 58 (first row)-5=53 (second row; has to have five fewer boxes) so the function works.

now we can use the formula to find the other row values:

3rd row:

f(x)=58-5(x-1)

f(3)=58-5(3-1)

f(3)=58-5(2)

f(3)=58-10

f(3)=48

4th row:

f(x)=58-5(x-1)

f(4)=58-5(4-1)

f(4)=58-5(3)

f(4)=58-15

f(4)=43

5th row:

f(x)=58-5(x-1)

f(5)=58-5(5-1)

f(5)=58-5(4)

f(5)=58-20

f(5)=38

so, we have the row values from top to bottom:

58, 53, 48, 43, 38, 33

now we just have to add them up, giving us 273 boxes in total.

c. 4 1/4 pounds

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft