Question

Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $550 per week for general expenses. She earned $900 per week in sales. What is the minimum number of weeks it will take for Reiko to make a profit? Write an inequality to model the problem.

Answer 1

a. 550w > 6500 + 900w
b. 900w < 6500 + 550w
c. 900w > 6500 + 550w
d. 900w ≥ 6500 + 550w

Answer 2

What is w?

Answer 3

w represents weeks I believe

Answer 4

yes it's weeks. and likee you have to wright the equation and find the least amount of weeks it takes I guess. I'm so confused with inequalities.

Answer 5

So the answer would have to be C.

Answer 6

what about the least amount of weeks? o.o

Answer 7

Because every week she loses $550 and she started off already having lost $6500. So when the number of weeks multiplied of gaining 900 outweighs the 550w + 6500 subtraction, you get a profit.

Answer 8

And hold on I'll figure out the weeks now

Answer 9

19 weeks

Answer 10

I'm not sure how your teacher wants you to do it, but I did this:
She loses 550 per week and gains 900, so she in total brings in 350 per week.
Since she is already down 6500 from buying her merchandise, that 350 per week has to make add up to over 6500. So now the question becomes how many weeks of gaining $350 will get you over $6500. So 6500/350 = 18.57. but since they are asking in weeks, you round up to 19 because 18.57 is in the middle of the 18th week so 18 would be incorrect.

Answer 11

it was right cx thanks for all the help c:

Answer 12

You can check the answer by plugging 19 into your inequality which is C.
So:
900(19) > 6500 + 550(19)
17100 > 16950

Answer 13

And you're welcome :)

Answer 14

can I message you on here? .-. or will you like hate me cx

Answer 15

haha sure go ahead

Answer 16

okies cx