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Being able to translate real-world scenarios into math is a powerful skill. One common way many people use this ability is to keep track of finances. To turn words into math successfully, write all of the numbers and variables down in relation to each other one step at a time.
In SW Arizona, there is enough sunlight for a 100% efficient solar panel to absorb 7.5 kWh/m² in a day. You run a solar farm with panels covering an area of 2,500 m². Each panel has an energy conversion efficiency of only 20%. How many kWh of energy does your farm absorb in a day?
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You make $35,000 per year and want to save at least 15% of it. You have the following average monthly expenses: rent $1,000, groceries $600, internet $60, utilities $150, cell phone bill $80, gas $250. How much can you spend beyond that per year and still meet your goal?
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You are a ceramicist who makes pottery. You earn $20,000 per year teaching design courses at your local university. In addition, you sell an average of $18,000 of pottery per year through retail stores that take an average of 5% of your sales. You pay $2,000 twice a year to attend major trade shows, from which you earn an average of $10,000 in sales each. Your pottery materials cost an average of $500 per month, and the rent for your studio costs $1,500 per month. You are planning to set up a website through which you will sell work (you keep all of your earnings from the site). How much more money do you need to earn in sales through the website to make a profit of at least $32,000 per year?
Master Question: You stream video games on a popular streaming site 8 hours a day, 4 days out of the week to an average of 900 non-subscribers per stream. Non-subscribers see ads you play during your breaks. 10% of your weekly stream time is dedicated to ads. For each 1-minute ad a non-subscriber sees, you receive $0.01. How much ad revenue do you make per week?
Master Question: You stream video games on a popular streaming website. You currently have 200 subscribers who pay $5.00 a month to watch your content, add free. Each month, you gain 25 subscribers and lose 4. If the website takes 33% of each subscription fee, how many months will it take for you to reach a monthly salary of $1,000 from subscribers alone? Round to the nearest month.