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Mathematics 23 Online
OpenStudy (anonymous):

Help plz!!! You and some friends have raised $250 to help make a video for a local contest. You need $35 to buy videotapes and it costs $45 per day to rent the video camera. Write and solve an inequality to find the possible number of days you can rent the video camera.

OpenStudy (anonymous):

Okay, so the total has to be \(\leq 250\) since that is all of the money you have. And since it costs 45 dollars per day that is the same as \(45d\) where d is the number of days. You also need to pay 35 dollars to buy videotapes. This makes the inequality \(250\geq 45d+35\). Do you know how to solve this for the variable d?

OpenStudy (anonymous):

So its 4.7 ≥ x

OpenStudy (anonymous):

Would that be 4 days?

OpenStudy (anonymous):

no it would not be

OpenStudy (anonymous):

You rounded up instead of down

OpenStudy (anonymous):

because you should remember the money you spent on the tapes

OpenStudy (anonymous):

which is 35

OpenStudy (anonymous):

as it says, the possible number of days.

OpenStudy (anonymous):

?, if it's 5 days, then it goes over $250

OpenStudy (anonymous):

it isnt five days

OpenStudy (anonymous):

I was wrong, you can't round up anyways. it's 4.7 or nearest is 4 days

OpenStudy (anonymous):

Okay, I get it now.

OpenStudy (anonymous):

wouldnt it be less than four days?

OpenStudy (anonymous):

No, you subtract 35 then divide you get 4.777777778 4 is less than that

OpenStudy (anonymous):

well alright

OpenStudy (anonymous):

im still not entirely sure, but thats just my stubborn side acting up. Thank you, i had a very similar problem but i wanted to get a sense for something similar and this was a lot of help.

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