hello! I really need help with this math problem on a portfolio I am doing, I know you're not supposed to give answers out and I'm not asking for any answers but I honestly don't understand this I've watched the profolio recording as well and help from others, it would really be nice for some help, thank you.
Two cell phone companies have different rate plans run fast has monthly charges $10 plus 4 per gig of data VA and deeds monthly charge is 6 + 6 per gig of data your task is to determine under what circumstances each company has better pricing you will derive and solve a set of equations to graph those equations and evaluate the meanings of those events.
cost1 = 4g + 10 -----> plot y = 4x+10
cost2 = 6g + 6 -------> plot y = 6x + 6
when is cost1 = cost2 ??
6g + 6 = 4g + 10
2g = 54
g = 2
interpret what I just did
See thank you but to me it looks like you're extremely smart Because I have zero idea what any of that means I'm extremely horrible at math
I've watched the lesson but I still don't understand and I don't know why I don't
Hello! I'm here to help you understand the math problem you're working on. It seems like you need to determine under what circumstances each cell phone company has better pricing. To do this, you'll need to derive and solve a set of equations, graph them, and then analyze what the solutions mean. Let's break it down step by step:
1. Define the variables:
- Let's say x represents the number of gigabytes (GB) of data used.
- Let's use the variable R to represent the monthly charges for Run Fast and V for VA and Deeds.
2. Set up the equations:
- For Run Fast, the monthly charges can be expressed as: R = 10 + 4x.
- For VA and Deeds, the monthly charges can be expressed as: V = 6 + 6x.
3. Solve the equations:
- To determine under what circumstances each company has better pricing, you need to find the conditions where one company's charges are lower than the other's.
- Set up the inequality R < V to find when Run Fast has better pricing: 10 + 4x < 6 + 6x.
- Now solve for x: subtract 4x and 6 from both sides, giving you 4x - 6x < 6 - 10.
- Simplify: -2x < -4.
- Divide both sides by -2, remembering that dividing or multiplying by a negative number reverses the inequality: x > 2.
- So, for Run Fast to have better pricing, the number of gigabytes used (x) must be greater than 2.
4. Graph the equations:
- Plot the equations on a graph with x representing the number of gigabytes and y representing the monthly charges.
- For Run Fast, the equation is R = 10 + 4x. This means when x = 0, R = 10, and when x = 1, R = 14, etc.
- Similarly, for VA and Deeds, the equation is V = 6 + 6x.
- Plot the points for both companies and draw the lines connecting them on the graph.
5. Analyze the meanings:
- Analyze the graph to understand when each company has better pricing.
- If the Run Fast line is below the VA and Deeds line, it means Run Fast's charges are lower.
- By looking at the graph, you can see that when x > 2 (more than 2 GB of data), Run Fast has better pricing. When x < 2 (less than 2 GB of data), VA and Deeds has better pricing.
Remember, the above steps outline how to approach the problem systematically. Make sure to double-check your work and calculations.