Question

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:

Answer 1

(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:

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

450/15?

Answer 6

Yeah, solve that.

Answer 7

as the Equation?

Answer 8

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

Answer 9

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?

Answer 10

yea i think

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

450/15=x?

Answer 15

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

Answer 16

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

Answer 17

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?

Answer 18

how may miles

Answer 19

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.

Answer 20

15*X=450??

Answer 21

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.

Answer 22

450/15=30

Answer 23

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

Answer 24

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

Answer 25

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

Answer 26

wich would be 18

Answer 27

per mile they would have to pay her

Answer 28

Excellent work.

Answer 29

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

Answer 30

thanks so much so last question

Answer 31

Fire away!

Answer 32

so how would i do the soultution is numbers

Answer 33

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.

Answer 34

ok thanks so much you have been a HUGE help!

Answer 35

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Answer 36

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