a gym charges a $15 registration fee and $5 per session. If x represents the number of sessions, the total cost for going to the gym is represented by f(x)=5x + 15. Mario will be going to the gym no more than 4 times this week. What is a possible range for this situation?
To find the possible range for this situation, we need to determine the minimum and maximum costs.
The minimum cost occurs when Mario goes to the gym 0 times, so f(x) = 5(0) + 15 = 15. Therefore, the minimum cost is $15.
The maximum cost occurs when Mario goes to the gym 4 times, so f(x) = 5(4) + 15 = 20 + 15 = 35. Therefore, the maximum cost is $35.
Thus, the possible range for this situation is $15 to $35.
To find the possible range for this situation, we need to consider the maximum cost that Mario can incur by going to the gym no more than 4 times.
Let's substitute the values of x, representing the number of sessions, into the given expression f(x) = 5x + 15.
When x = 0 (no sessions), the cost is: f(0) = 5(0) + 15 = 0 + 15 = 15.
When x = 1 (1 session), the cost is: f(1) = 5(1) + 15 = 5 + 15 = 20.
When x = 2 (2 sessions), the cost is: f(2) = 5(2) + 15 = 10 + 15 = 25.
When x = 3 (3 sessions), the cost is: f(3) = 5(3) + 15 = 15 + 15 = 30.
When x = 4 (4 sessions), the cost is: f(4) = 5(4) + 15 = 20 + 15 = 35.
Therefore, the possible range for this situation is $15 to $35, inclusive.