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

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

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  1. How can you solve a problem using a linear relationship if you are not given an initial value?

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

  3. Linear relationships are commonly expressed in three ways: tables, graphs, and equations. y = mx + b +3 +2 +2 +3 +3 +2

  4. Interpreting the wrong point as the y-intercept

  5. 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

  6. +0.75 +0.75 Rate of change = slope = $0.75 +0.75

  7. 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

  8. +0.75 +0.75 +0.75

  9. 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

  10. Work backwards $4.00 -0.75 $4.75 -0.75 c = $0.75r + $4.00 c = $0.75(8) + $4.00 = $10.00

  11. 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

  12. +0.75 +0.75 Rate of change = slope = $0.75 = ¾ +0.75

  13. (8, $10.00) (5, $7.75) Cost (in dollars) (4, $7.00) (3, $6.25) (2, $5.50) Number of rides

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

  15. 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?

  16. 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?

  17. 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?

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