Question

Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it cost him $300 per week for general expenses. He earned $850 in sales

Whats the minimum number of weeks it will take Eduardo to make profit?

A. 12 weeks

B. 13 weeks

C. 14 weeks

D. 15 weeks

Answer 1

first we need to find the equation that goes with this problem

Answer 2

yeah

Answer 3

do you remember what the equation for your last problem was?

Answer 4

what we don't know is the amount of weeks so would that be the variable

Answer 5

yes, that's right

Answer 6

300w

Answer 7

right?

Answer 8

what's your whole equation?

Answer 9

does it have to be with the greater than signs? bc I'm doing inequalities

Answer 10

no, you dont need those for this one

Answer 11

okay, so would it be.. 7500 + 300w = 850 ?? idkk

Answer 12

actually you should probably have less than or equal to on this one

Answer 13

\[7500+300w \le850\]

Answer 14

ok and to solve it, would i have to isolate w

Answer 15

yes, go ahead and solve for w

Answer 16

i think i did something wrong lol

Answer 17

i got w ≤ -6950

Answer 18

ah

Answer 19

OHHHH okay i see what we did wrong

Answer 20

i have the equation for last problem if u need it.

Answer 21

the equation should be 850-300w greater than or equal to 7500 i THINK

Answer 22

ok lemme try that

Answer 23

i dont think that's right either :[ sorry

Answer 24

@Vocaloid hey do you know anything about this or see where we went wrong?

Answer 25

the equation for last problem was \[900w \ge6500 +550w\]

Answer 26

if we exchange the terms for the ones in our current problem, that would make it 850w \[850w \ge7500+300\]

Answer 27

is that right?

Answer 28

or +300w rather

Answer 29

the basic format is

profit ------ > cash earned >= expenses

so he earns 850 a week which is 850w
he spends 300 a week which is 300w
and 7500 is a flat cost

Answer 30

^ yeah what you have there should be right

Answer 31

850w >= 300w + 7500

Answer 32

500w >= 7500

Answer 33

w >= ??

Answer 34

7000

Answer 35

nope

Answer 36

oh wait

Answer 37

500w >= 7500

divide both sides by 500

Answer 38

15

Answer 39

good

Answer 40

so 15 weeks

Answer 41

so answer would be 15 weeks?

Answer 42

yay omg ty!

Answer 43

yeehaw !! thanks for clearing it up buddy @Vocaloid