FAN AND MEDAL PLS HELP! (6 points) Breanna is planning to enter a bike race to support her favorite local charity. For each description, write an equation that could be used to solve the problem and then solve the problem.
(a) Breanna’s sponsor plans to give $15 to her favorite charity for each mile she bikes. How many miles would Breanna need to bike if she wants to earn $450 for her favorite charity?
Equation:
Solution:

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(b) Breanna predicts that she may only be able to bike 25 mi. She still wants to earn $450 for her favorite charity. How much money should she ask her sponsor to give her per mile in order to reach her goal?
Equation:
Solution:

- noseboy908

Is the equation then asking "How much should she ask for per mile to get $450 by only 25 miles?

- FUZZYBALL

it is asking how many miles she need to ride to get $450 at $15 a mile

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## More answers

- noseboy908

Ok, then let's find that first. Do you have any idea how we'd set up an equation to solve for that?

- FUZZYBALL

450/15?

- noseboy908

Yeah, solve that.

- FUZZYBALL

as the Equation?

- FUZZYBALL

wich would be 30 but how would i do the soulution?

- noseboy908

Well, the important thing is to determine /what/ exactly the question is asking. Does it want to know how many miles she'd have to bike to make at least $450 at $15/mi?

- FUZZYBALL

yea i think

- noseboy908

My mistake, I misread it. You're correct. So let's create an equation for the problem.

- FUZZYBALL

the equation would be 450/15=30? right???

- noseboy908

That's how you would solve for the equation. Just work backwards a little. Try to incorporate a variable, x, into it.

- FUZZYBALL

450/15=x?

- noseboy908

Almost there! Now, work backwards just one more step! Isolate $450 please.

- FUZZYBALL

15/450=X i dont know??? how??

- noseboy908

Don't worry, just one step at a time. So you know that as an end result, you want the variable and the $15/mi to end up totaling $450, so we set that up on it's own, as (something) = $450. Now, let's add what we know. We're also told that they're willing to donate $15 PER mile, so what is the only unknown thing so far?

- FUZZYBALL

how may miles

- noseboy908

Yes! So let's set that as x. Thus we have our formula: (Price per mile) (quantity of miles) = (Total money made). Fill in what you can, please. Use x as the variable for what you don't know.

- FUZZYBALL

15*X=450??

- noseboy908

Perfect! Now, there's your first answer! That's your equation. Now, earlier you were eager to solve that equation for x, so go ahead and do that, please.

- FUZZYBALL

450/15=30

- noseboy908

Excellent! That's part A's equation and solution. Now, on to part B!

- noseboy908

What, pray tell, does part B ask of us?

- FUZZYBALL

25*X=450? she thinks she can only ride 25miles so she want to know how much her charity would have to pay her per mile if she rode 25 miles

- FUZZYBALL

wich would be 18

- FUZZYBALL

per mile they would have to pay her

- noseboy908

Excellent work.

- noseboy908

That is, then, the equation and solution for part B.

- FUZZYBALL

thanks so much so last question

- noseboy908

Fire away!

- FUZZYBALL

so how would i do the soultution is numbers

- noseboy908

The solution for A, assuming your teacher wants it in this form, would be x = 30 miles. For B, it'd be x = $18.00. Now, they may want you to elaborate too, so you'd have to verify how they want the solution presented to be sure.

- FUZZYBALL

ok thanks so much you have been a HUGE help!

- noseboy908

You are most welcome! Now, I only ask one final thing of you. By clicking on my name you can view my profile. From there, you can view testimonials. I'd greatly appreciate you leaving one for me. Be honest, and speak your mind.

- noseboy908

Now, if you have any further questions, I'll be on later tonight to help. Just message me or mention me, and I'll help as soon as I see the notification. Au revoir!

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