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Each scenario describes a cost or profit model using a fixed fee or base amount plus a constant rate per unit (bracelets, keychains, posters, cakes, pies, lemonade, films, smoothies). 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Her shipping supplies cost $24. Which equation shows her profit, y, for selling x bracelets?\u003Cbr>2) A delivery app charges $15 per order plus $0.75 for each mile. Which equation represents the cost, y, of an order delivered x miles?\u003Cbr>3) A tutoring center charges a registration fee of $31 plus $10 per session. Which equation represents the total cost, y, for x sessions?\u003Cbr>4) A shop earns $7 for each keychain it sells. The molds cost $103 to make. Which equation shows the shop's profit, y, for selling x keychains?\u003Cbr>5) A team earns $7 for each poster it sells. The printing setup costs $113. Which equation shows the team's profit, y, for selling x posters?\u003Cbr>6) A bakery earns $7 for each cake it sells. The bakery's daily rent is $92. Which equation shows the bakery's profit, y, for selling x cakes in a day?\u003Cbr>7) Adam makes $3 for each cup of lemonade he sells. His supplies cost $27. Which equation shows his profit, y, for selling x cups?\u003Cbr>8) A bakery earns $9 for each pie it sells. The ingredients cost $45 per day. Which equation shows the bakery's profit, y, for selling x pies in a day?\u003Cbr>9) A movie streaming service charges $15 per month plus $0.53 for each rented film. Which equation represents the monthly bill, y, for x rented films?\u003Cbr>10) A smoothie shop makes $3 for every smoothie sold. The shop also has costs of $150 per day. Which equation shows how much the shop makes, y, for selling x smoothies in a day?\u003Cbr>11) Rachel earns $6 for each bracelet she sells at a fair. Her table rental costs $69. Which equation shows her profit, y, for selling x bracelets?\u003Cbr>12) A plumber charges a $71 service fee plus $77 per hour. Which equation represents the total cost, y, for a job that takes x hours? |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>\u003Cbr>Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>3\u003Cbr>1-10\u003Cbr>11-12 | 92 | 83 | 75 |  | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nWriting Linear Models from Situations  \nName: Answer Key  \n\n| Write the equation that models each situation.\u003Cbr>1) Faye earns $7 for each bracelet she sells online. Her shipping supplies cost $24. Which equation shows her profit, y, for selling x bracelets? |  |  |  |  | Answers\u003Cbr>1.  y = 7x-24  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A delivery app charges $15 per order plus $0.75 for each mile. Which equation represents the cost, y, of an order delivered x miles? |  |  |  | 2.  y = 0.75x + 15 \u003Cbr>3.  y = 10x + 31  |  |  |  |  |  |  |  |\n| 3) | A tutoring center charges a registration fee of $31 plus $10 per session. Which equation represents the total cost, y, for x sessions? |  |  |  | 4.  y = 7x-103  |  |  |  |  |  |  |  |\n| 4) | A shop earns $7 for each keychain it sells. The molds cost $103 to make. Which equation shows the shop's profit, y, for selling x keychains? |  |  |  | 5.  y = 7x-113 \u003Cbr>6.  y = 7x-92  |  |  |  |  |  |  |  |\n| 5) | A team earns $7 for each poster it sells. The printing setup costs $113. Which equation shows the team's profit, y, for selling x posters? |  |  |  | 7.  y = 3x-27 \u003Cbr>8. y = 9x-45 |  |  |  |  |  |  |  |\n| 6) | A bakery earns $7 for each cake it sells. The bakery's daily rent is $92. Which equation shows the bakery's profit, y, for selling x cakes in a day? |  |  |  | 9.  y = 0.53x + 15  |  |  |  |  |  |  |  |\n| 7) | Adam makes $3 for each cup of lemonade he sells. His supplies cost $27. Which equation shows his profit, y, for selling x cups? |  |  |  | 10.  y = 3x-150 \u003Cbr>11.  y = 6x-69  |  |  |  |  |  |  |  |\n| 8) | A bakery earns $9 for each pie it sells. The ingredie","cbCaii6VCiKtFlj0","https://ap.wps.com/l/cbCaii6VCiKtFlj0","pdf",43620,"English","# Write the equation that models each situation\n## Profit and earnings scenarios\n## Cost and service scenarios","[{\"question\":\"What is the task in Writing Linear Models from Situations?\",\"answer\":\"Write a linear equation that models each given scenario, using y as the profit or cost and x as the number of units or time.\"},{\"question\":\"How do you form an equation from these situations?\",\"answer\":\"Identify the fixed base amount (like supplies cost or a service fee) and the constant rate per unit, then combine them in the linear form y = mx + b.\"},{\"question\":\"Where can the correct equations be found?\",\"answer\":\"The document includes an answer key section that lists the equation for each numbered problem.\"}]","Writing Linear Models from Situations - Answer Key | PDF",1790804112]