OBJECTIVE

I will be able to apply slope intercept form to word problems.

Pick up your calculator and take out a sheet of graph paper.

WARM UP

The cost of an ice cream sundae is given by the formula C(s) = 1.50s + 5.00. In this formula, C(s) represents the cost of the ice cream sundae and s is the number of scoops of ice cream. Graph the Equation. What does the slope represent? What does the y intercept represent?

A generator company installs generators over a number of days. The company is trying to use the equation y = -10X + 750 to help them figure out when do they need to re-order generators to have a full stock.

What is the rate of change in this situation?  What is the y intercept? What is the x intercept?  Draw and label a graph of this situation using the

intercepts. What does the y intercept represent?  What does the x intercept represent?  What is the domain of this situation? What is the range of this situation?

A submersible designed to explore ocean floor is at an elevation of -13,000 feet. The submersible ascends to the surface at an average rate of 650 feet per minute. The elevation e (in feet) of the submersible is given by the function. e = 650t – 13,000where t is the time (in minutes) since the submersible began to ascend.

What is the rate of change in this situation?  What is the e intercept? What is the t intercept? Draw and label a graph of this situation using the

intercepts. What does the e intercept represent? What does the t intercept represent? What is the domain of this situation? What is the range of this situation?

The table shows the height of the sand in a sand box as the sand is being removed for replacement.

What is the rate of change represented in the table? What is the x-intercept? What is the y-intercept? What does the x-intercept mean in this situation? What does the y-intercept mean in this situation?

Time(hours)

Height(in)

0 45

2 30

4 15

6 0