Question

DO NOT ANSWER WITHOUT SHOWING YOUR WORK

Answer 1

Answer:

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.