"Application of a linear function" PPT

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"Application of a linear function" PPT

Part One: Introduction of New Course

A rides a bicycle along the highway at a speed of 10 kilometers. Three hours after departure, B rides a motorcycle from the same place and travels in the same direction as A along the highway at a speed of 25 kilometers per hour.

Assume that the time A leaves the starting point is X hours

(1) The functional relationship between A’s distance from the starting point y and x, and point out the value range of the independent variable x.

Y=10x(x≥0)

(2) The functional relationship between y and x, the distance B left from the starting point, and point out the value range of the independent variable x.

Y=25(x-3) i.e. y=25x-75

(3) In the same rectangular coordinate system, draw the images of the two functions in (1), and explain the meaning of the intersection points in the images based on practical problems.

PPT on the application of linear functions, part 2: analysis of examples

Example: In order to teach, teachers need to check information online at home. Telecom companies provide two ways to charge for Internet access:

Method 1: Billed based on Internet time at 0.1 yuan per minute;

Method 2: The monthly fee is 20 yuan, and the fee is 0.05 yuan per minute based on the Internet time.

Ask the students to help the teacher choose: Which way is more cost-effective to access the Internet?

Solution: Assume that the online time is x minutes, if you press method 1, you will receive ________ yuan;

If you press method 2, you will receive ________ yuan.

(1) From 0.1x > 0.05x + 20, the solution is x > 400, that is, when the Internet time exceeds 400 minutes, the second method is cost-effective.

(2) From 0.1x =0.05x+20, the solution is x =400, that is, when the online time is equal to 400 minutes, both methods are the same

(3) From 0.1x<0.05x+20, the solution is x<400, that is, when the Internet time is less than 400 minutes, method 1 is cost-effective.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, PPT download of application of one-time functions, .PPT format;

For more information about the "Application of a Single Function" PPT courseware, please click on the "Application of a Single Function ppt" tab.

Download the PPT courseware of "Application of a linear function":

"Application of linear functions" PPT courseware download Part 1: Warm-up exercises 1. A car is driving from Nanjing to Shanghai, which is 300 kilometers away. When its average speed is 100 kilometers/hour, which graph below represents the distance s (kilometers) and the driving time t of the car from Shanghai..

"Application of a Single Function" PPT download:

"Application of a linear function" PPT download Part 1: Teaching objectives: 1. Experience the process of applying a linear function to solve practical problems. 2. Improve the ability to obtain information from text, tables, and images. 3. Understand the relationship between functions and equations through practical problems.

"Application of linear functions" PPT courseware 2:

"Application of a linear function" PPT courseware 2 1: Undetermined coefficient method 1. Xiao Ming filled in the following table based on a certain linear function relationship: One of the boxes was accidentally covered by ink. Think about it, the number originally filled in the blank was how many? Explain your reasons. 2.The length of the spring..

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Update Time: 2024-10-02

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 2 industry PPT template

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