Question

A company produces accessories for smart phones and tablets. The profit on each smart phone case is $2, and the profit on each tablet case is $3. The company made a profit of $1,200 on the cases last month. The equation 2x + 3y = 1,200 represents the company's profit from cases last month, where x is the number of smart phone cases sold and y is the number of tablet cases sold.

Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answer 1

@dtan5457

Answer 2

give me a sec ill be back

Answer 3

they want the equation in what form?

Answer 4

with your given information, you can make a slope, and a y intercept.

want it in slope intercept form?

Answer 5

thats what it says that represents this graph. so i don't think it matters as long as its an equation so sure yes in a slope intercept form :D

Answer 6

There is a negative slope and your y intercept is 300

Answer 7

that already tells you that

y=mx+300

Answer 8

all you need to find is the slope now, which is clearly negative

Answer 9

how do i do that considering i only have one number and a bunch of letters?

Answer 10

your two points for calculating your slope would be:

0,300<<y intercept of course
150,200

Answer 11

recall that slope=

\[\frac{ y2-y1 }{ x2-x1 }\]

Answer 12

plug in, tell me what you get

Answer 13

0^2-300^1
___________
150^2-200^1

Answer 14

or should 300 be first?

Answer 15

300
___
300-200=100

Answer 16

\[\frac{ 300-200 }{ 0-150 }=\frac{ 100 }{-150}=-\frac{ 2 }{ 3 }\]

Answer 17

that is ur slope^^

Answer 18

ohhh ok so my equation would be that?

Answer 19

@dtan5457

Answer 20

knowing your intercept is 300 and slope is -2/3

plug into y=mx+b please

Answer 21

y=-2/3x+300

Answer 22

@dtan5457

Answer 23

so is it right??

Answer 24

yes.

Answer 25

:D thankkss and nope thats all for now :D

Answer 26

@dtan5457

Answer 27

np