Download presentation

Presentation is loading. Please wait.

1
**1.6 Applications of Linear functions**

2
**quiz Fill in the blank below:**

A number y varies directly with x if there exists a nonzero number k such that y=____

3
**Solving application problems**

Read the problem Gather information, make a sketch, write what the variable will represent. Write an equation Solve the equation Look back and check your solution Verify that the answer makes sense, fullfills the requirements.

4
Example 1 The new generation of televisions has a 16:9 aspect ratio. This means that the length of the television’s rectangular screen is 16/9 times its width. If the perimeter of the screen is 136 inches, find the length and the width of the screen.

5
Example 2 In 1960 only 7% of physicians were female, but the number had risen to 20% in Write a linear function to describe the percentage of physicians that are female in terms of the year. Find the percentage of physicians that are female in 2010.

6
Break-Even problem For what number (x) of items sold will the revenue collected equal the cost of producing those items? Revenue (R(x)) = selling price x # of items sold Cost (C(x)) = fixed cost + item cost x # of items sold Break-even point: R(x) = C(x)

7
Example A student is planning to produce and sell music DVDs for $5.50 each. A computer with a DVD burner costs $2500, and each blank DVD costs $1.50. 1. Find the revenue function R(x) and the cost function C(x). 2. Find the break-even point. 3. Show the solution graphically. [What portion of the graph shows the student is making a profit?]

8
Direct Variation When a situation gives rise to a linear function f(x) = kx, or y = kx, we say that we have direct variation The following three statements are equivalent. 1. y varies directly as x. 2. y is in direct proportion to x. 3. y = kx for some nonzero constant k. The number k is the constant of variation.

9
Example 1 If A varies directly as B, and B = 12 when A = 4, find a linear model that relates A and B.

10
Example 2 If w is proportional to t, and t = 18 when w = 10, (a) find a linear model that relates w and t. (b) use the model to find the value of w when t = 639.

11
Example 3 The cost of renting office space in a downtown office building varies directly with the size of the office. A 600-square-foot office rents for $2550 per month. Use this information to write a model that gives the rent in terms of the size of the office. Then use the model to find the rent on a 960 square-foot office.

12
Homework PG. 70: 31, 34, 35, 38, 41, 44, 53, 54, 55, 58, 60 KEY: 31, 34, 41, 60 Reading: 2.1 Basic Functions

Similar presentations

OK

Financial Algebra © 2011 Cengage Learning. All Rights Reserved. Slide 1 2-4 FIXED AND VARIABLE EXPENSES Understand the difference between fixed and variable.

Financial Algebra © 2011 Cengage Learning. All Rights Reserved. Slide 1 2-4 FIXED AND VARIABLE EXPENSES Understand the difference between fixed and variable.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Download ppt on civil disobedience movement protest Ppt on model view controller framework Ppt on division as equal sharing Ppt on group development in education Ppt on condition monitoring software Ppt on fire alarm project Marketing mix ppt on nokia x Ppt on nature and human development Ppt on review of related literature samples Ppt on rc phase shift oscillator connections