Question

Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. What is the maximum number of months for which Abbey can learn yoga with her savings?

24

25

26

27

Answer 1

25

Answer 2

write it has an inequality She must have enough or a little more money for n months of yoga
1325 >= 35 + 50n

Answer 3

can you solve this for n?

Answer 4

@jackmullen55
please just don't give the answers . Read Code of Conduct

Answer 5

How do I solve for n @welshfella

Answer 6

Sorry @welshfella i will be more considerate

Answer 7

Oh, so if I plug in each of the numbers for n and get to the maximum amount, I have my answer then right?

Answer 8

you want to get the 50n alone on one side so you subtract (opposite operation) 35 from each side

Answer 9

to get 1290>= 50n

Answer 10

do you understand that so far?

Answer 11

So then that would be 25 since 50 x 25 = 1285

Answer 12

in simple terms yes

Answer 13

That is the max, everything else goes over 1290

Answer 14

yes exactly :)

Answer 15

Wow, thanks!

Answer 16

We need to find the cost of the lessons.
The cost, C, is the sum of the fixed registration fee and the monthly fee.
C = fixed registration fee + monthly fee
The fixed fee is simply $35, so we substitute that into our equation above.
C = 35 + monthly fee

Now we need to write the monthly fee as a function of months.
If she uses it one month, the monthly fee is 50 * 1
If she uses it two months, the monthly fee is 50 * 2
If she uses it three months, the monthly fee is 50 * 3
We use the pattern above to generalize the monthly fee.
If she uses it m months, the monthly fee is 50 * m, which is simply 50m, where m is the number of months she uses the gym.
Now we can add the monthly part of the fee to our equation above:
C = 35 + 50m

Now we know that she has a total of $1325 to spend, so her cost must be less than or equal to $1325. We can now write an inequality to show this:

\(35 + 50m \le 1325\)

Now you need to solve for m, the number of months.
First, subtract 35 from both sides.
Then divide both sides by 50.
If you get a whole number, that is your answer.
If you get a number with a decimal part, just drop the decimal part. Don;t round the number up.

Answer 17

no problem :)