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:
 $x = 25$