Use the five steps for problem solving to answer the following question. Please show all of your work.

Marissa has budgeted $65 for her monthly cell phone expense. If her plan with her wireless provider is $15 plus $0.25 for each minute, how many minutes can she talk on her cell phone in a month and not exceed her budget?

I don't know what your "five steps" are , but the inequation would be

.25m + 15 ≤ 65
.25m ≤ 50
m ≤ 200

To answer this question using the five steps for problem solving, here's the approach:

Step 1: Understand the Problem
The problem states that Marissa has a budget of $65 for her monthly cell phone expense. Her plan with her wireless provider is $15 plus $0.25 for each minute. We need to determine the maximum number of minutes she can talk on her cell phone without exceeding her budget.

Step 2: Devise a Plan
To solve this problem, we will set up an equation where the total cost of the cell phone plan (including the fixed cost and the cost per minute) is equal to Marissa's budget. We can then solve this equation to find the maximum number of minutes.

Step 3: Carry Out the Plan
Let's set up the equation:

Total Cost = Fixed Cost + (Cost per Minute * Number of Minutes)

We know that the fixed cost is $15, and the cost per minute is $0.25. Let's represent the number of minutes as 'm'. Marissa's budget is $65.

Therefore, the equation becomes:
$65 = $15 + ($0.25 * m)

Next, let's solve this equation for 'm' (the number of minutes):

$65 - $15 = $0.25 * m
$50 = $0.25 * m

Now, let's solve for 'm':
m = $50 / $0.25
m = 200

Therefore, Marissa can talk on her cell phone for a maximum of 200 minutes in a month without exceeding her budget.

Step 4: Evaluate the Solution
To verify our solution, we substitute the value of 'm' back into the original equation and check if the total cost does not exceed $65.

Total Cost = Fixed Cost + (Cost per Minute * Number of Minutes)
Total Cost = $15 + ($0.25 * 200)
Total Cost = $15 + $50
Total Cost = $65

Our solution is valid since the total cost of Marissa's cell phone plan is equal to her budget of $65.

Step 5: Reflect on the Problem
We have successfully determined the maximum number of minutes Marissa can talk on her cell phone without exceeding her budget. This approach can be used for similar problems where we need to find the optimal solution within a given constraint.