Question

Please help!

A local charity earns money to donate to flood victims. It receives $200 per day in cash and $150 in pledges that were received once. The charity spends $75 a day in expenses. After how many days will the charity have enough money to make at least a $1000 donation?

Answer 1

Give the inequality and solve

Answer 2

I know that you add $200 and $150 and you subtract the sum of that and $75 because of the expenses but then what?

Answer 3

What symbol do you think represents "at least"?

Answer 4

What does "at least" mean?

Answer 5

>

Answer 6

That's more than. We're talking about "at least" which means the value of above.

So at least 6 would mean 6 or over.
6 > x would just be over 6

Answer 7

x > 6*

Answer 8

so its the < symbol

Answer 9

wait .. I was right the first time?

Answer 10

\[\ge\]

Answer 11

yeah so what is the inequality?

Answer 12

Well let's build it. Let's c is the amount of days.

You are getting 200 per day, the amount of days is 'c'. So how would you write out 200 per day?

Answer 13

200c

Answer 14

Yeah. You get 150 once in pledges. What would that be.

Answer 15

200 + 150

Answer 16

that would be flat 200, remember it's 200 per day

Answer 17

200c + 150

Answer 18

Yes. Now we are spending 75 per day. What would 75 per day be?

Answer 19

(200c + 150) - 75c

Answer 20

Yep

Answer 21

Thats the end of the equation?

Answer 22

And it has to be at least 1000, so what would you add to that?

Answer 23

> 1000

Answer 24

At least

Answer 25

(200c +150) - 75c ≥ 1000

Answer 26

Yep. Now we have to solve

Answer 27

How do we solve?

Answer 28

We have to isolate c. To do this, we have to move everything except c to the other side.

Answer 29

(200c +150) - 75c

We can combine this, combine like terms. Like terms are when terms have the same variable.

Answer 30

So which terms there are like terms?

Answer 31

@♪Chibiterasu sorry my laptop just suddenly died

Answer 32

200c + 150

Answer 33

Those aren't like terms because they don't have the same variable.

Answer 34

ohh

Answer 35

lol

Answer 36

So which terms have variable c?

Answer 37

200c -75c

Answer 38

Yes! Now subtract

Answer 39

125 ?

Answer 40

We keep the variable.

Answer 41

125c

Answer 42

Yeah.

125c + 150 >_ 1000

Now we have to subtract 150 on both sides to get rid of the 150.

Answer 43

Can you subtract 150 from both sides of the equation?

Answer 44

Yeah I got -25 >_ 850

Answer 45

Where did the -25 come from o_o

Answer 46

lol idk let me try again

Answer 47

125c >_ 850

Answer 48

Yeah that. Now just divide 125 on both sides. We're multiplying 125 by c so to cancel out, we divide. That will give you your solution.

Answer 49

I got 6.8 ?

Answer 50

Yes, that's it.

c is AT LEAST 6.8 which means the there must be 6.8 days for the charity to have at least 1000. You can round that to just 7.

Answer 51

need help

Answer 52

so its c ≥ 6.8
so it'll take the charity 7 days to have at least $1000
Thank you @♪Chibiterasu for helping me through this problem!

Answer 53

Np :)

Answer 54

yep