Two-Step Heart Transplant Math Challenge
(a) Write two ordered pairs of the form (year, number of heart transplants). (Use a comma to separate answers as needed.)
How can we determine the ordered pairs based on the given data of heart transplants performed in a country?
(b) Find the slope of the line between the two points.
What formula should be used to calculate the slope between the given points of heart transplants over time?
(c) Write a sentence explaining the meaning of the slope as a rate of change.
What does the slope of the line indicate about the rate of change in the number of heart transplants over the years?
(a) Write two ordered pairs of the form (year, number of heart transplants). (Use a comma to separate answers as needed.)
The two ordered pairs will be (2001, 2140) and (2006, 2480).
(b) Find the slope of the line between the two points.
The slope of the line between the two points is 68.
(c) Write a sentence explaining the meaning of the slope as a rate of change.
The number of heart transplants increased at a rate of about 68 per year.
In the given problem, we are provided with the number of heart transplants performed in a country in 2001 and 2006. To solve the questions (a), (b), and (c), we need to use the data effectively.
(a) Two Ordered Pairs
The ordered pairs represent the years and the corresponding number of heart transplants. By analyzing the data, we can extract the required ordered pairs, which are (2001, 2140) and (2006, 2480).
(b) Finding the Slope
To calculate the slope between the two points, we use the formula: slope = (y2 - y1) / (x2 - x1). By applying this formula with the given values, we find the slope to be 68.
(c) Interpreting the Slope as Rate of Change
The slope of 68 indicates that the number of heart transplants has increased at a rate of 68 per year. This means that each year, there is an average increase of 68 heart transplants in the country.