Moving Straight Ahead 1.3 Raising Money (Using Linear Relationships)

Moving Straight Ahead 1.3 Raising Money (Using Linear Relationships)

<p> Moving Straight Ahead 1.3 Raising Money (Using Linear Relationships)</p><p> Leanne’s sponsors will pay $10 regardless of how far she walks.</p><p> Gilberto’s sponsors will pay $2 per kilometer (km).</p><p> Alana’s sponsors will make a $5 donation plus 50¢ per kilometer.</p><p>1. Make a table showing the amount of money a sponsor would owe under each pledge plan if a student walked distances between 0 and 6 kilometers. </p><p>2. Graph the three pledge plans on the same coordinate axes. Use a different color for each plan. </p><p>3. For each pledge plan, write an equation that can be used to calculate the amount of money a sponsor owes, given the total distance a student walks.</p><p>4. What pattern of change for each pledge plan do you observe in the table?</p><p>5. How does this pattern appear in the graph?</p><p>6. How does this pattern appear in the equation?</p><p>7. If a student walks 8 miles in the walkathon, how much would a sponsor owe under each pledge plan? Explain how you got your answer.</p><p>8. For a sponsor to owe a student $10, how many miles would the student have to walk under each pledge plan? Explain how you got your answer.</p><p>9. In Alana’s plan, how is the fixed $5 donation represented in </p><p> a. the table? b. the graph? c. the equation?</p><p>10. Gilberto decides to give a T-shirt to each of his sponsors. Each shirt costs him $4.75. He plans to pay for each shirt with some of the money he collects from each sponsor. </p><p> a. Write an equation that represents the amount of money Gilberto makes from each sponsor after he has paid for the t-shirts. Explain what information each number and variable in the equation represents.</p><p> b. Graph the equation for distances from 0 to 5 kilometers.</p><p> c. Compare this graph to the graph of Gilberto’s pledge plan in Question 2. Moving Straight Ahead 1.3 Raising Money (Using Linear Relationships)</p><p>Distance Money Owed (kilometers) Leanne Gilberto Alana 0 1 2 3 4 5 6 Equation</p>

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