Catherine found that as she increases the price of a chocolate bar, the number of sales per week decreased.
week - number of sales
1 - 149
2 - 143
3 - 137
4 - 131
5 - 125
a. write a formula for the arithmatic sequence that represents the number of sales per week.
b. exlain how you could use the information to predict the number of sales for the eighth week.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation:

simplified version :

3y^2-10y^2x^4+40x^2+3y^2/2x^2

11 10x0.000000000092^11