SOLUTION: you have $50 to spend on a party. Pizzas cost $10 each, ships cost $2 per bag , and soda costs $1.25 per bottle. write and equation in three variables for the number of pizzas, bag

Algebra ->  Rational-functions -> SOLUTION: you have $50 to spend on a party. Pizzas cost $10 each, ships cost $2 per bag , and soda costs $1.25 per bottle. write and equation in three variables for the number of pizzas, bag      Log On


   

Question 117696: you have $50 to spend on a party. Pizzas cost $10 each, ships cost $2 per bag , and soda costs $1.25 per bottle. write and equation in three variables for the number of pizzas, bags of chips, and bottles of soda you buy. find the intercept of the equation and graph the equation
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
you have $50 to spend on a party. Pizzas cost $10 each, ships cost $2 per bag , and soda costs $1.25 per bottle. write and equation in three variables for the number of pizzas, bags of chips, and bottles of soda you buy. find the intercept of the equation and graph the equation 
10x + 2y + 1.25z = 10

To find the x-intercept, substitute 0 for y and z and
solve for x


10x + 2(0) + 1.25(0) = 10
                 10x = 10
                   x = 1

So the x-intercept is the point (1,0,0)

To find the y-intercept, substitute 0 for x and z and
solve for y


10(0) + 2y + 1.25(0) = 10
                  2y = 10
                   y = 5

So the y-intercept is the point (0,5,0)

To find the z-intercept, substitute 0 for x and y and
solve for z


10(0) + 2(0) + 1.25z = 10
               1.25z = 10
                   z = 8

So the x-intercept is the point (0,0,8)

Sorry, we can't draw 3D graphs on here. But it is a plane
which passes through those three points.

Edwin