2. A supermarket display consists of boxes of cereal. The bottom row has 23 boxes. Each row has three 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.

Question

Brando

Mathematics

19 September, 12:39

2. A supermarket display consists of boxes of cereal. The bottom row has 23 boxes. Each row has three 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.

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Answers (1)

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Trenton · Answer 1

Start with 23

for every row up you have - 3

equation is

# of boxes = 23 - 3x

x representing the number of rows above the bottom

# of boxes = 23 - 3x=

23-3 (5) = 8

5 for the top row

bottom row has 23

1 row above 23-3 (x) = 20

2 row above 23-3 (x) = 17

3 ... 23-3 (x) = 14

4 ... 23-3 (x) = 11

5 ... 23-3 (x) = 8

therefore just add all boxes each row has

23+20+17+14+11+8 = 83