The equation y = 1.5x + 35 represents the cost y (in dollars) of the
family meal when the food costs $35 and x beverages are purchased.
a. Graph the equation.
b. Use the graph to estimate the cost of the family meal when
5 beverages are purchased.
c. Use the equation to find the exact cost of the family meal when
5 beverages are purchased.

step-by-step explanation:

bob the banana

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