Sure! Here are some examples of different types of rates along with their answers:
1. Speed Rate
Example: A car travels 150 miles in 3 hours. What is the speed of the car?
Solution:
Speed = Distance / Time
Speed = 150 miles / 3 hours = 50 miles per hour (mph)
2. Interest Rate
Example: If you invest $1,000 at an annual interest rate of 5%, how much interest will you earn in one year?
Solution:
Interest = Principal × Rate × Time
Interest = $1,000 × 0.05 × 1 = $50
3. Rate of Work
Example: If a painter can paint a room in 4 hours, how much of the room can he paint in 1 hour?
Solution:
Rate of Work = 1 room / 4 hours = 0.25 rooms per hour
In 1 hour, he can paint 0.25 of a room.
4. Rate of Pay
Example: A worker earns $20 per hour. If he works for 35 hours in a week, how much does he earn for the week?
Solution:
Total Earnings = Hourly Rate × Hours Worked
Total Earnings = $20/hour × 35 hours = $700
5. Rate of Change
Example: The population of a town increases from 20,000 to 22,000 in one year. What is the rate of change of the population?
Solution:
Rate of Change = (Final Value - Initial Value) / Time
Rate of Change = (22,000 - 20,000) / 1 year = 2,000 people per year
6. Conversion Rate
Example: A website has 1,000 visitors in a month, and 50 of them make a purchase. What is the conversion rate?
Solution:
Conversion Rate = (Number of Conversions / Total Visitors) × 100
Conversion Rate = (50 / 1,000) × 100 = 5%
Feel free to ask if you'd like examples from specific fields or topics!
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