2.  Complete the investigation to write an equation from a recursive routine.  Manisha starts her exercise routine by jogging to the gym. Her trainer says this activity burns 215 calories. Her workout at the gym is to pedal a stationary bike. This activity burns 3.8 calories per minute.  Compete Investigation 3.4

3.  The equation for Manisha’s workout shows a linear relationship between the total calories burned and the number of minutes pedaling on the bike.  You probably wrote one of the following liner equations: y = 215 + 3.8x or y = 3.8x + 215

4.  The form y = a + bx is the intercept form.  The value of a is the y -intercept, which is the value of y when x is zero.  The intercept gives the location where the graph crosses the y-axis.  The number multiplied by x is b, which is called the coefficient of x.  The coefficient of x is the rate of change (Lesson 3.5)

5.  In the equation y = 215 + 3.8x, 215 is the value of a.  It represents the 215 calories Manisha burned while jogging before her workout.  The value of b is 3.8.  It represents the rate her body burned calories while she was pedaling.  What would happen if Manisha chose a different physical activity before pedaling on the stationary bike?

6.  a. Define variables and write an equation in intercept form for this relationship.  b. Use your equation to calculate the location of the minivan after 2.5 h.  c. Use your equation to calculate when the minivan will be 130 mi from Flint. A minivan is 220 mi from its destination, Flint. It begins traveling toward Flint at 72 mi/h.

7.  d. Using your graphing calculator, graph the relationship and locate the points that are the solutions to parts b and c (remember to change your window settings).  e. What is the real-world meaning of the rate of change in this relationship? What does the sign of the rate of change indicate? A minivan is 220 mi from its destination, Flint. It begins traveling toward Flint at 72 mi/h.

8.  3.4 Practice Worksheet, page 4 3.4 Practice Worksheet, page 4