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How can you solve a problem using a linear relationship if you are not given an initial value? PowerPoint Presentation
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How can you solve a problem using a linear relationship if you are not given an initial value? - PowerPoint PPT Presentation


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How can you solve a problem using a linear relationship if you are not given an initial value?. In this lesson you will learn how to solve a problem involving a linear relationship by making a table and graph.

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Presentation Transcript
slide2

In this lesson you will learn how to solve a problem involving a linear relationshipby making a table and graph.

slide3

Linear relationships are commonly expressed in three ways: tables, graphs, and equations.

y = mx + b

+3

+2

+2

+3

+3

+2

slide5

You are going to a carnival with your friend. You know that there is a fee to get into the carnival, and then you also pay to go on rides.

Your friend paid $5.50 and rode 2 rides.

Each ride costs $0.75.

How much will it cost to pay the entry fee and ride 8 rides?

Constant rate of change

slide6

+0.75

+0.75

Rate of change = slope = $0.75

+0.75

slide7

How to solve this problem?

  • Use the table
  • Find an equation to model this function
  • Put the points from the table on a graph, and use the graph
slide8

+0.75

+0.75

+0.75

slide9

How to solve this problem?

  • Use the table
  • Find an equation to model this function
  • Put the points from the table on a graph, and use the graph
slide10

Work backwards

$4.00

-0.75

$4.75

-0.75

c = $0.75r + $4.00

c = $0.75(8) + $4.00 = $10.00

slide11

How to solve this problem?

  • Use the table
  • Find an equation to model this function
  • Put the points from the table on a graph, and use the graph
slide12

+0.75

+0.75

Rate of change = slope = $0.75 = ¾

+0.75

slide13

(8, $10.00)

(5, $7.75)

Cost (in dollars)

(4, $7.00)

(3, $6.25)

(2, $5.50)

Number of rides

slide14

In this lesson you have learned how to solve a problem involving a linear relationshipby making a table and graphing.

slide15

A 2-mile cab ride costs $5.25. A 5-mile cab ride costs $10.50. How much does a 4.2-mile cab ride cost, if the cost of the cab is calculated by the mile?

slide18

A water jug with 3 cups of water in it weighs 2.25 pounds. With 5 cups of water it weighs 3.25 pounds. How much does the water jug weigh when empty?

slide19

Sean likes to eat cookies. He eats 3 cookies per day. Five days after opening a box of cookies, there are 24 cookies left in the box. How many cookies were in the box at the time it was opened?