1. A business owner is looking to open a new coffee shop and analyzes the start-up costs. The fixed costs, such as rent and equipment, amount to $10,000, while the variable costs, such as coffee beans and milk, amount to $2 per cup of coffee sold. The revenue from selling each cup of coffee is $4. What is the y-intercept of the cost equation?
2. A car rental company charges a base rate of $50 per day plus an additional $0.25 per mile driven. A customer rents a car for 3 days and drives a total of 300 miles. What is the y-intercept of the total cost equation for this rental?
3. A farmer is considering expanding his apple orchard and estimates the production costs. The fixed costs, such as land and equipment, amount to $5,000, while the variable costs, such as fertilizer and labor, amount to $1 per bushel of apples produced. The farmer sells each bushel of apples for $10. What is the y-intercept of the cost equation for the apple orchard expansion?
4. A clothing store owner is calculating the costs of running her business. The fixed costs, such as rent and utilities, amount to $2,000 per month, while the variable costs, such as inventory and salaries, amount to $5 per item sold. The store sells each piece of clothing for $20. What is the y-intercept of the cost equation for the clothing store?
5. A landscaping company is bidding on a project to design and install a garden. The fixed costs, such as tools and equipment, amount to $3,000, while the variable costs, such as plants and labor, amount to $10 per square foot of garden installed. The company charges $20 per square foot for their services. What is the y-intercept of the cost equation for this landscaping project?
y-intercepts in real world problems practice
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