Applications of linear relations
0/1
Intros
Lessons
0/7
Examples
Lessons
- The value V of a classic toy car, in dollars, is given by V+15t=350, where t is the age of the car. If the car was bought new 5 years ago, graph the equation and estimate the value of the car 6 years from now.
- The cost C, in dollars, of renting a hall for the prom is given by the formula C(n)=500+4n, where n is the number of students attending the prom. Calculate the cost of renting the hall if 70 students attend.
- Sam completes a puzzle in time t (mins) is related to number of tries (n). The resulting equation is t=30−54n Graph the equation and estimate the time it takes him to do the puzzle on his 15th try.
- A game rental store charges $15.00 to rent the console and the game and $3.00 per additional hour. Write the linear equation. Determine the cost of renting for 15 hours. Determine the hours if the cost was $150.
- In 1970 the population of Andyland city was 900,000, in 1995 the population of the same city had grown to 1,500,000.
i) Find the average rate of change for the population of this city from 1970 to 1995.
ii) Predict how many people will live in this city in 2015. - A car repair shop charges an hourly rate plus a fixed amount. One hour costs $70, and four hours costs $160.
i) Determine the hourly rate.
ii) Write the equation that shows the total cost (C) in terms of number of hours (H) and the fixed cost (F).
iii) Domain and Range. - Jack has two options when renting his car for the vacation:
Option A: $50 per day, and no extra charge per kilometre.
Option B: $35 per day, and 15 cents per kilometre.
i) Graph the options A & B
ii) How many kilometres must Jack travel to make option A the cheapest rate?
Free to Join!
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun — with achievements, customizable avatars, and awards to keep you motivated.
Easily See Your Progress
We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.Make Use of Our Learning Aids
Earn Achievements as You Learn
Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.Create and Customize Your Avatar
Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
Topic Notes
Let's put the linear functions in words! It's not hard to find things with linear relations around us. We will show you how to solve linear relationship word problems.
Basic Concepts
Related Concepts
2
videos
remaining today
remaining today
5
practice questions
remaining today
remaining today