Constant Rates of Change

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Presentation transcript:

Constant Rates of Change

Warm Up

To represent a proportional relationship using an equation find the constant of proportionality, k. An equation for proportional relationships is y=kx.

Complete the table and write an equation for the proportional relationship. Be sure to tell what each variable represents. Tickets 3 5 10 18 Cost $50.25 $83.75

Randall earns money fixing computers Randall earns money fixing computers. Is the relationship between the amount Randall earns and the number of day a proportional relationship? If so, write an equation for the relationship. Number of Days 1 2 3 4 5 Amount Earned ($) 175 350 525 700 875

Two pounds of peaches cost $4. 50, 5 pounds cost $11 Two pounds of peaches cost $4.50, 5 pounds cost $11.25, and 10 pounds costs $22.50. Show that relationship between the number of pounds of peaches is a proportional relationship. Then write an equation for the relationship. Describe the proportional relationship in words.

Exit Ticket Craig earns extra money as a lifeguard. He earns $37 Exit Ticket Craig earns extra money as a lifeguard. He earns $37.00 for 4 hours and $64.75 for 7 hours. Explain how you know whether the relationship between earnings and time is a proportional relationship. Identify the constant of proportionality and write an equation for the proportional relationship.