Question

question about break even point.

I am not to sure how to tackle this, so any help would be greatly appreciated.

"find the break even point of each pair of equation. round to nearest decimal answers to the nearest tenth."

E=26 +3.2x

I=4.5x

im not sure what E and i stand for.

Answer 1

is there something in the question you haven't included?

Answer 2

ohhhhh im sorry it's E=26 + 3.2x

sorry, sort of new here.

Answer 3

i think the break even point is where the lines cross

Answer 4

ie, the point that solves both the equations

Answer 5

so how would i go about this? should i just graph it in my calculator or is there some formula for this?

Answer 6

well i wold simply solve the second equation for x (by dividing by 4.5)

and then substituting this into the first equation

Answer 7

so im looking for i?

Answer 8

your looking for the \(x\) that makes I=E

Answer 9

i got x= i/4.5 then plugged it into 26+ 3.2 (i/4.5)

am i on the right path?

Answer 10

yeah,

E=26+3.2 (i/4.5)

simplify this a bit

and you will have E in terms of I

Answer 11

okay, so im stuck at E= 26 +3.2i/4,5

i dont think i can those two values.

Answer 12

add those*

Answer 13

actually i think there is an better way to do this problem

The break even point is when I=E

so solve

26 +3.2x=4.5x

Answer 14

ohhh okay.

Answer 15

can you find \(x\) now?

Answer 16

Yes thank you, you are too awesome.

i got x=20

Answer 17

good stuff, can you round that to the nearest tenth?

Answer 18

do i need to? it broke evenly.

Answer 19

im not sure,

Answer 20

i think the instructions might be in case it didnt break down evenly.

Answer 21

To be a point the point must have an \(x\) and a \(y\) value
you've found \(x=20\) , to find \(y\) substitute \(x\) into either equation to get \(y\),

then write the point like this \((x,y)\)

Answer 22

Y=i =4.5 * 20= 90

(20,90)?

Answer 23

Thats it \[(20,90)\checkmark\]

Answer 24

awesome, possum :) thanks for the help mate.