Writing+Linear+Functions-Target+C-Linear+Apps-Practice+Problems

**Target C****: Write and Apply a Linear Function from Context and Identify Domain and Range**


 * 1a) You are writing a science research paper for your Chemistry class. You can type four pages per hour and you have already typed two pages. Write a function where //t// represents the number of hours and //W(t)// is the total pages written.**

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 * 1b) You only have two and a half hours before you have lacrosse practice to write your paper. Graph the function using the graph below. Drag the endpoints to model the situation.**


 * 1c) What are the domain and range?**

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 * 2) The table shows the cost of staying at a resort on the South Carolina coast per night for different sized groups. Write an equation the gives the cost as a function of the number of people in a group.**

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 * 3a) You are comparing two printers to buy for college. The first printer from JW Computers prints six pages a minute and the second from Siller Printers prints four and a half pages per minute. You estimate that your average paper is 18 pages long. If you were to print an 18 page paper from each printer use the dots as endpoints for two functions of pages left of the 18 page report with respect to time. Use the blue for JW Computers and green for Siller Printers .**


 * 3b) Once you have successfully graphed the functions, write them in function notation. Use J(t) for JW Computers and S(t) for Siller Printers .**


 * 3c) What is the domain and range for each function?**


 * 3d) Explain which printer is better.**


 * 4) Your cell phone plan charges you $0.02 to send a text message and $0.05 to receive while you are traveling in China. You plan on spending not more than $50 on text messaging for the two weeks that you are there.**


 * 4a) Write and equation in standard form that models the possible combinations of sent and received text messages.**


 * 4b) Graph the equation making sure that you label your axes properly.**


 * 4c) What do the //x// and //y// intercepts mean in this context?**


 * 4d) What is the domain and range of the situation?**


 * 5) You are training to run in your first marathon and you want to gradually increase the number of miles you run each week. Currently, you run 20 miles each week. Your plan is to run 6 additional miles each week.**


 * 5a) Write an equation that gives the total number of miles you run each week as a function of the number of weeks you have been running since you started increasing the number of miles you run each week.**


 * 5b) Find the total number of miles you are running each week after 8 weeks of increasing the number of miles you run each week.**


 * 6) You rent a hotel room for $45 a night. The hotel adds a charge for using its parking lot to the total bill. (The parking lot charge is always the same for any length of stay) After staying at the hotel for 3 nights, your total bill is $150.**


 * 6a) Write an equation that gives your total bill (in dollars) as a function of the number of nights you stay in the room.**


 * 6b) How much of your bill was for the parking fee?**


 * 6c) How much does it cost to stay at the hotel for 7 nights?**


 * 6d) If your bill was $555, how many nights did you stay at the hotel?**

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 * 7. The table shows the cost of mailing different weights of airmail letters to Canada in 2005.**
 * 7a) Explain why the situation can be modeled using a linear equation.**


 * 7b) Write an equation that gives the cost (in dollars) as a function of the weight of an airmail letter (in ounces).**


 * 7c) How much does it cost to mail a 5-ounce airmail letter to Canada?**


 * 8) You are running a basketball shooting camp at your junior high during the winter break. You plan on spending $60 on t-shirts for the campers. You want to buy some large t-shirts for $4 each and medium t-shirts for $2.50 each.**


 * 8a) Write an equation in standard form that models the possible combinations of large and medium t-shirts you can buy.**


 * 8b) If you buy 6 large t-shirts, how may mediums picks can you buy?**


 * 8c) If you buy 10 medium t-shirts, how may larges can you buy?**


 * 9) You and your friends decide to open a deck painting business for the summer. You can buy a four gallon can of heavy duty deck paint for $80 each and a four gallon can of textured heavy duty deck paint of for $100 each.**


 * 9a) Write an equation in standard form that models the possible combinations of each kind of paint if a client only wants to spend $1000.**


 * 9b) If you buy 5 four gallon cans of heavy duty deck paint, how many four gallon cans of textured heavy duty deck paint can you afford?**


 * 9c) If you buy 5 four gallon cans of textured heavy duty deck paint, how many four gallon cans of heavy duty deck paint?**


 * 10) A cable company charges $44 per month for basic service. Each premium channel costs an additional $16 per month.**


 * 10a) Identify the dependent and independent variables in this situation.**


 * 10b) What “form” is the best to use in this situation?**


 * 10c) Write an equation that gives the total cost (in dollars) of cable each month as a function of the number of premium channels.**


 * 10d) Approximate how many premium channels you can have for $80 a month.**

__**Target Review**__
11) Write the following equation in standard form. math \ \\ \ y=-\dfrac{1}{2}x+5\\ \ \\ math

12) Write an equation of the line, in point slope form, passing through the points (2, -1) and (-3, 4).

13) Graph the following linear equation: y = -x - 4.