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?

Answer 1

So for this, this can be written into the equation
`y=50x+35` (x = number of months, y = total cost).

To solve this problem, we need to plug in 1325 into the y-variable and solve from there.


`1325=50x+35`

Subtract 35 on each side to get
`1290=50x`

Then just divide by 50 on each side, and your answer should be
`25.8=x`


And because we cannot go past budget, we will have to round down to 25. In context, the maximum amount of months Abbey can do is 25 months.

Answer 2

The first thing we are going to do for this case is define variables.
We have then:
x: number of months
y: total cost
We now write the linear function that models the problem:

`y = 50x + 35`
The maximum number of months occurs when savings are reached.
Therefore, substituting y = 1325 we have:

`1325 = 50x + 35`
From here, we clear x:

`50x = 1325-35 50x = 1290 x = 1290/50 x = 25.8`
Rounding the nearest whole before the next number:

`x = 25`
Answer:
The maximum number of months for which Abbey can learn yoga with her savings is:

`x = 25`