1. Section 2

1.29. Explore

Mathematics 20-3 Module 3

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.

  1. Assuming that the price per pound doesn't change, how much will a 7-lb bag of peanuts cost?

    1. Use the table to set up a proportion and solve the question.

        Cost Pounds
      First Bag $2.10 5
      Second Bag x 7

    2. Create two ratios based on this problem. Use these ratios to set up a different proportion and solve the question.

  2. What is the cost of peanuts per pound?
Self-Check 1
  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

  2. 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