Section 2
1. Section 2
1.29. Explore
Section 2: Slope—Rate of Change
Explore
In Discover you may have noticed there are different ways of setting up a proportion to arrive at the same answer. Using a table to set up a proportion instead of ratios is a strategy that can be helpful.
Try This 2
You can purchase a 5-lb bag of peanuts at the store for $2.10.
- Assuming that the price per pound doesn't change, how much will a 7-lb bag of peanuts cost?
- Use the table to set up a proportion and solve the question.
Cost Pounds First Bag $2.10 5 Second Bag x 7
- Create two ratios based on this problem. Use these ratios to set up a different proportion and solve the question.
- Use the table to set up a proportion and solve the question.
- What is the cost of peanuts per pound?
Self-Check 1
- The temperature dropped 15°C in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next 10 days?
Temperature Drop (°C) Number of Days Initial Drop 15 30 New Drop x 10
Answer
- Graph the points from question 1 with number of days on the horizontal axis. Join the points and find the slope of the resulting line. What does the slope tell you about the temperature drop? Answer