Download presentation

Presentation is loading. Please wait.

Published byJalen Toney Modified over 3 years ago

1
10-1 Tables and Functions Learn to use data in a table to write an equation for a function and to use the equation to find a missing value.

2
10-1 Tables and Functions Vocabulary function input output

3
10-1 Tables and Functions A function is a rule that relates two quantities so that each input value corresponds exactly to one output value.

4
10-1 Tables and Functions Additional Example 1: Writing Equations from Function Tables 2522191613y 1076543x y is 3 times x plus 4. y = 3x + 4 Compare x and y to find a pattern. Use the pattern to write an equation. y = 3(10) + 4 Substitute 10 for x. y = 30 + 4 = 34 Use your function rule to find y when x = 10. Write an equation for a function that gives the values in the table. Use the equation to find the value of y for the indicated value of x.

5
10-1 Tables and Functions When all the y-values are greater than the corresponding x-values, use addition and/or multiplication in your equation. Helpful Hint

6
10-1 Tables and Functions Check It Out: Example 1 1816141210y 76543x y is 2 times x + 4. y = 2x + 4 Compare x and y to find a pattern. Use the pattern to write an equation. y = 2(10) + 4 Substitute 10 for x. y = 20 + 4 = 24 Use your function rule to find y when x = 10. Write an equation for a function that gives the values in the table. Use the equation to find the value of y for the indicated value of x.

7
10-1 Tables and Functions You can write equations for functions that are described in words.

8
10-1 Tables and Functions Additional Example 2: Translating Words into Math The height of a painting is 7 times its width. h = height of painting Choose variables for the equation. h = 7w Write an equation. Write an equation for the function. Tell what each variable you use represents. w = width of painting

9
10-1 Tables and Functions Check It Out: Example 2 The height of a mirror is 4 times its width. h = height of mirror Choose variables for the equation. h = 4w Write an equation. Write an equation for the function. Tell what each variable you use represents. w = width of mirror

10
10-1 Tables and Functions Additional Example 3: Problem Solving Application The school choir tracked the number of tickets sold and the total amount of money received. They sold each ticket for the same price. They received $80 for 20 tickets, $88 for 22 tickets, and $108 for 27 tickets. Write an equation for the function. 1 Understand the Problem The answer will be an equation that describes the relationship between the number of tickets sold and the money received.

11
10-1 Tables and Functions You can make a table to display the data. 2 Make a Plan Solve 3 Let t be the number of tickets. Let m be the amount of money received. 1088880m 272220t m is equal to 4 times t. Compare t and m. m = 4t Write an equation.

12
10-1 Tables and Functions Substitute the t and m values in the table to check that they are solutions of the equation m = 4t. Look Back 4 m = 4t (20, 80) 80 = 4 20 ? 80 = 80 ? m = 4t (22, 88) 88 = 4 22 ? 88 = 88 ? m = 4t (27, 108) 108 = 4 27 ? 108 = 108 ?

13
10-1 Tables and Functions Check It Out: Example 3 The school theater tracked the number of tickets sold and the total amount of money received. They sold each ticket for the same price. They received $45 for 15 tickets, $63 for 21 tickets, and $90 for 30 tickets. Write an equation for the function. 1 Understand the Problem The answer will be an equation that describes the relationship between the number of tickets sold and the money received.

14
10-1 Tables and Functions You can make a table to display the data. 2 Make a Plan Solve 3 Let t be the number of tickets. Let m be the amount of money received. 906345m 302115t m is equal to 3 times t. Compare t and m. m = 3t Write an equation.

15
10-1 Tables and Functions Substitute the t and m values in the table to check that they are solutions of the equation m = 3t. Look Back 4 m = 3t (15, 45) 45 = 3 15 ? 45 = 45 ? m = 3t (21, 63) 63 = 3 21 ? 63 = 63 ? m = 3t (30, 90) 90 = 3 30 ? 90 = 90 ?

Similar presentations

OK

Solve one of the equations for one of the variables. Isolate one of the variables in one of the equations. Choose whichever seems easiest. Substitute.

Solve one of the equations for one of the variables. Isolate one of the variables in one of the equations. Choose whichever seems easiest. Substitute.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Download ppt on basic concepts of chemistry Ppt on projectile motion in physics Convert pptm to ppt on mac Ppt on indian army weapons purchase Ppt on obesity management articles Ppt on business etiquettes training program Ppt on missing numbers for kindergarten Ppt on world population Pdf to ppt online no email Ppt on ministry of corporate affairs ontario