## How Do You Find The Intercepts of a Linear Function?

Problem 2 The percent p of high school seniors who ever used marijuana can be related to x, the number of year after 2000, by the equation 25p + 21x = 1215.

a. Find the x intercepts of the graph of this function.

b. Find and interpret the p intercept of the graph of this function.

c. Graph the function using the intercept.

## How Do I Deal With Variables Other Than x in Linear Functions?

When working with functions with unusual variable names and scaling, students often run into two problems.

• trouble with what each variable represents
• trouble with the scaling of the variables

Since we rarely use x in Finite Math to represent the independent variable, we need to get used to these names. Typically, the variables are aligned or scaled. This means we need to pay particular care to interpreting answers.

In one type of the problem, you are given a demand function \$latex \displaystyle p=D(q)=32-1.25q\$ where p is the price in dollars and q is the quantity of watches demanded in hundreds. In part b, you were asked to find the price when the demand is 800 watches. This quantity corresponds to \$latex \displaystyle q=8\$ and gives a price of

\$latex \displaystyle D(8)=32-1.25(8)=22\$

Notice how the scaling on the variable works…800 watches is input as 8 hundred. In part c, you need to find the demand when the price is 27 dollars. Now we know the output from the function and we need to find the corresponding input,

\$latex \displaystyle 32-1.25q=27\$

When we solve this for q we get \$latex \displaystyle q=4\$. In other words, 4 hundred watches are demanded when the price is 27 dollars. Since the units on the answer blank is watches, you will need to type 400 in the answer blank. I think many of you were not taking the units into account on this problem. Units are incredibly important in the real world where you are dealing with millions of dollars. In those cases misinterpreting 2,000,000 dollars and 2 million dollars may cost you your job.

## How Do I Find The Equilibrium Point From Supply and Demand Functions?

This handout shows what supply and demand functions are as well as how to set them equal to find the equilibrium point. It also shows how to find the equilibrium point on the TI calculator.

## How Do I Make A Scatter Plot On My TI Graphing Calculator?

A scatter plot is simply a plot of data points. Typically the data points will be in a table or ordered pairs. The independent variable is graphed horizontally (usually the first column of data or first number in the ordered pair) and the dependent variable is graphed vertically. This handout shows an example.

## How Do I Graph A Linear Function On My TI Graphing Calculator?

Any function is graphed with a few basic steps.

• Put the function into the calculator.
• Set the graphing window.
• Graph the function.

The exact sequence of steps is demonstrated in the handout below.