Which table shows a proportional relationship between x and y? A
B
С
D
X
y
X
y
у
x
у
3
6
9
12.
15
4
10
16
22
28
12
14
16
18
20
6
12
18
24
30
4
8
12
16
20
2
4
8
14
20
5
10
15
20
25
1
2.
3
4
5
А
В

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

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

can you take a photo of the screen?