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

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(20059) (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

RELATED QUESTIONS
[ You have $25 to buy supplies for a class. party juice costs $3 per bottle, and chips... (answered by TimothyLamb)

You are buying nuts for a party. Peanuts cost $2 per pound and cashews cost $4 per pound. (answered by richwmiller)

You have $6 to spend on lunch today. The drinks cost $1.25 each and the salad costs... (answered by josgarithmetic)

Clark is having a party. His father allowed him to spend 20$ on snacks. He'd like to buy... (answered by josmiceli)

Mrs. Jones is celebrating Gauss's birthday by having a pizza party for her two algebra... (answered by stanbon)

You are buying the hamburgers and chicken for a party. The hamburgers cost $2.75 per... (answered by ewatrrr)

Mr. Song is planning a party for his class and needs to buy candy and chips. Candy costs... (answered by 428225)

Clark is having a party at his house. His father has allowed him to spend at most 20... (answered by Mathtut)

you have $45 dollars to spend on refreshments for a party. large bags of chips cost $2.00 (answered by richwmiller,greenestamps)