Use the five steps for problem sovling.
Company A charges $25 per month plus $0.22 per minute for cell phone service. Company B charges $35 per month plus $0.12 per minute. How many minutes of usage is needed in one month to make Company B a better deal?
What are the five steps you are supposed to use?
Help with solving don't need five steps . Thanks
I need help with this problem.
solve:
.12m + 35 < .22m + 25
The five step-method is probably a term your teacher uses, and is not generally known.
The number of steps shouldn't really matter.
Here is the way I would do this ....
.12m + 35 < .22m + 25
-.1m < -10
m > 100
so for usage of more than 100 minutes, plan B would be better
check with a number like 150 minutes
To solve this problem, we can use the five steps for problem-solving. Here's how:
Step 1: Understand the problem:
The problem asks us to determine how many minutes of usage in one month are needed to make Company B a better deal compared to Company A, considering their pricing plans.
Step 2: Gather information:
We are given the pricing plans for both companies:
- Company A charges $25 per month plus $0.22 per minute
- Company B charges $35 per month plus $0.12 per minute
Step 3: Formulate a plan:
To find the number of minutes needed to make Company B a better deal, we need to compare the total cost of both companies for a given number of minutes.
Step 4: Solve the problem:
Let's assume x is the number of minutes of usage.
For Company A, the total cost can be calculated as:
Total Cost A = $25 + $0.22x
For Company B, the total cost can be calculated as:
Total Cost B = $35 + $0.12x
We need to find the point where Total Cost B is less than Total Cost A. So we set up the inequality:
Total Cost B < Total Cost A
$35 + $0.12x < $25 + $0.22x
Simplifying the inequality:
$35 - $25 < $0.22x - $0.12x
$10 < $0.10x
Dividing both sides by $0.10:
$10/$0.10 < x
100 < x
Therefore, when the number of minutes of usage exceeds 100 minutes, Company B becomes a better deal.
Step 5: Check the answer:
We can verify our answer by considering a few scenarios. For example, if we choose x = 100 minutes or fewer, the total cost for both companies will be higher for Company B compared to Company A. However, if we choose x = 101 minutes or more, the total cost for Company B will be lower compared to Company A, making it a better deal.
So, the answer to the problem is that more than 100 minutes of usage are needed in one month to make Company B a better deal.