Final answer:
To justify becoming a member of the first club, you would need to buy more than 25 magazines.
Step-by-step explanation:
To determine how many magazines you would need to buy to justify becoming a member of the first club, you need to compare the total cost of buying magazines from each club.
For the first club, you have a membership fee of $75 plus $3 per magazine. Let's call the number of magazines x. So the total cost for the first club is 75 + 3x.
For the second club, there is no membership fee but each magazine costs $6. So the total cost for the second club is 6x.
To find out when it becomes more cost-effective to join the first club, you need to set up an equation:
75 + 3x < 6x
Simplify the equation:
75 < 6x - 3x
75 < 3x
Divide both sides by 3:
25 < x
Therefore, you would need to buy more than 25 magazines to justify becoming a member of the first club.