7.4 Constant Rate of Change Unit 7, Lesson 4 Pg. 487

Happy Birthday Period 3 Daniel Rios Garcia Elijah Peoples

Objective and Vocabulary Relationships, Straight lines, and Linear Constant Rate of Change in a relationship Vocabulary Rate of Change Linear Relationships Proportional Relationships Slope Rise over Run

Rate of Change A ratio that compares the amount of change in the Dependent Variable (y’s - rise) to the amount of change in the independent Variable (x’s - run) Table format or between 2 points Remember direction on the axis (change between 2 points) Up and down is positive and negative on the y-axis Right and left is positive and negative on the x-axis

Example #1

Example #2 Finding rates of change from a graph (using 2 points) A to B B to C C to D D to E E to F

Pick any two “2” points…. You must label and graph them… Draw a line between the two points We will now find the rate of change between the two points. Label 1, pt. 1 and the other pt. 2, just like you did with the distance formula Now we will use the slope formula and find the slope of the line. Remember, on a straight line, the slope will remain constant.

Example of a Straight Line

Greater Slope? The steeper a line is, the greater the rate of change The greater value (absolute value), the greater the rate of change

Linear Relationships Relationships that have straight-line graphs are What is the rate of change? Number of Songs, y 2 4 6 8 Time (minutes), x 1 3

Proportional Relationships Two quantities “a” and “b” have a proportional linear relationship if they have a constant ratio and a constant rate of change

Example #2

Homework Honors Pg. 491, 1 – 13 all Regular Pg. 491, 1 – 10, 13