"Variables and Functions" First-time Function PPT Courseware 3

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"Variables and Functions" First-time Function PPT Courseware 3

Question one:

The car is traveling at a constant speed of 60 kilometers per hour, the mileage is s kilometers, and the driving time is t hours. First fill in the table below, and then use the formula containing t to express s.

Question two:

Each movie ticket sells for 10 yuan. If 150 tickets are sold in the morning show, 205 tickets are sold in the matinee show, and 310 tickets are sold in the evening show, how many yuan will the box office revenue of the three movie tickets be?

If x tickets are sold for a movie and the box office revenue is y yuan, how to express y using a formula containing x?

Box office revenue = selling price × number of tickets sold

Morning box office revenue = 10×150 = 1,500 (yuan)

Matinee box office revenue = 10×205 = 2050 (yuan)

Evening box office revenue = 10×310 = 3100 (yuan)

The concept of function:

In a change process, if there are two variables x and y, and for every certain value of x, y has a unique corresponding value, then we say that x is the independent variable and y is a function of x.

If y=b when x=a, then b is called the function value of y when the value of the independent variable x is a.

For example, in question 1, time t is the independent variable and mileage s is a function of t. When t=1, its function value is 60, and when t=2, its function value is 120.

Example 1. Write the relational expressions in each of the following questions, and point out the independent variables and functions.

(1) The area S of the square changes with the side length x S=x2

(2) The cultivated land area of ​​Xiushui Village is 106m2. The per capita cultivated land area y of this village changes with the number of people y=106/x

(3) Changes in the interior angle and degree y of a regular polygon with the number of sides n y= (n-2) ×180°

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For more information about the PPT courseware "Primary Function Variables and Functions", please click the "Primary Function ppt Variables and Functions ppt" tab.

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Update Time: 2024-09-08

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