Final answer:
To find out after how many months the fees for Workout Now and Ultra Sports Club will be the same, we need to set up an equation and solve for the number of months. The correct answer is 12 months.
Step-by-step explanation:
To find out after how many months the fees for Workout Now and Ultra Sports Club will be the same, we need to set up an equation.
Let's assume that the fees for Workout Now start at $x per month and increase by $10 each month. And let's assume that the fees for Ultra Sports Club start at $y per month and increase by $5 each month.
The equation can be set up as: x + 10m = y + 5m, where 'm' represents the number of months.
Now, we can solve this equation to find the value of 'm', which will give us the number of months after which the fees will be the same.
Subtracting '5m' from both sides of the equation, we get: x + 10m - 5m = y.
Simplifying further, we have: x + 5m = y.
Since the fees for Workout Now and Ultra Sports Club are the same after 'm' months, we can set the equation as: x + 5m = x + 10m - 5m.
Combining like terms, we get: 5m = 10m - 5m.
Subtracting '5m' from both sides, we have: 5m = 5m.
Dividing both sides by '5', we get: m = 1.
Therefore, the fees for Workout Now and Ultra Sports Club will be the same after 1 month. Hence, option a) 7 is incorrect. The correct answer is c) 12 months.