Point-Slope Worksheet (Page 2 of 3) in pdf

Point-Slope Worksheet Page 2

Point-slope form can also be used to solve real-world problems:

TELEVISION. In order to use an excerpt from a movie in a new television show, the television

producer must pay the director of the movie $790 for the first 2 minutes of the excerpt and $130 per

minute after that.

x = ___________________________

y = _________________________________

slope =

point = (__________, __________)

(a) Write an equation that gives the total cost (in dollars) of using the excerpt as a function

of the length (in minutes) of the excerpt.

(b) Find the total cost of using an excerpt that is 8 minutes long.

Now let’s try another one:

INTERNET. A school district pays an installation fee and a monthly fee for Internet service.

The table shows the total cost of Internet service for the school district over different

numbers of months. What is the monthly service fee? What was the installation fee?

Months of service

Total cost ($)

9,378 12,806 16,234 19,662 23,090 26,518

•

Calculate the slope from any two points:

•

Use the slope and a point to write the equation in point-slope form:

•

Distribute and write the equation in slope-intercept form:

•

One-time fees are the y-intercept. The installation fee was __________________.

•

Recurring fees are the slope. The monthly service fee is __________________.

Point-Slope Worksheet Page 2