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Each item provides a cost, profit, or total amount scenario with a variable x (visits, loaves, pies, bracelets, dogs, cakes, candles, sessions, package weight, square feet, hours, or rental hours) and asks for the corresponding equation in y. 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Which equation represents the total amount paid, y, after x visits? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Nancy makes $5 for each loaf of bread she sells at a market. Her booth costs $35 per day. Which equation shows how much she makes, y, for selling x loaves in a day? |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |  |  |\n| 3) | A bakery earns $7 for each pie it sells. The ingredients cost $26 per day. Which equation shows the bakery's profit, y, for selling x pies in a day? |  |  |  | 4.   |  |  |  |  |  |  |  |\n| 4) | Carol earns $4 for each bracelet she sells at a fair. Her table rental costs $68. Which equation shows her profit, y, for selling x bracelets? |  |  |  | 5.  \u003Cbr>6.   |  |  |  |  |  |  |  |\n| 5) | George earns $8 for each dog he walks. His transportation costs $44 per day. Which equation shows his profit, y, for walking x dogs in a day? |  |  |  | 7.  \u003Cbr>8. |  |  |  |  |  |  |  |\n| 6) | A bakery earns $14 for each cake it sells. The bakery's daily rent is $90. Which equation shows the bakery's profit, y, for selling x cakes in a day? |  |  |  | 9.   |  |  |  |  |  |  |  |\n| 7) | Sarah makes $6 for each candle she sells online. Her monthly listing fee is $47. Which equation shows her profit, y, for selling x candles? |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |  |  |\n| 8) | A tutor charges a $41 registration fee plus $24 per session. Which equation represents the total cost, y, for x sessions? |  |  |  | 12.   |  |  |  |  |  |  |  |\n| 9) | A shipping company charges $6 per package plus $0.93 for each pound. Which equation represents the cost, y, to ship a package weighing x pounds? |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | A landscaping crew charges a $10 travel fee plus $0.50 for each square foot of lawn. Which equation represents the cost, y, for x square feet of lawn? |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | A parking garage charges $5 to enter plus $0.54 for each additional hour. Which equation represents the total cost, y, for parking x additional hours? |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | A bike rental shop charges a $25 deposit plus $12 per hour. Which equation represents the total cost, y, for renting a bike x hours? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>9\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) A pool club charges a $26 membership fee plus $16 per visit. Which equation represents the total amount paid, y, after x visits? |  |  |  |  | Answers\u003Cbr>1.  y = 16x + 26  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Nancy makes $5 for each loaf of bread she sells at a market. Her booth costs $35 per day. Which equation shows how much she makes, y, for selling x loaves in a day? |  |  |  | 2.  y = 5x-35 \u003Cbr>3.  y = 7x-26  |  |  |  |  |  |  |  |\n| 3) | A bakery earns $7 for each pie it sells. The ingredients cost $26 per day. Which equation shows the bakery's profit, y, for selling x pies in a day? |  |  |  | 4.  y = 4x-68  |  |  |  |  |  |  |  |\n| 4) | Carol earns $4 for each bracelet she sells at a fair. Her table rental costs $68. Which equation shows her profit, y, for selling x bracelets? |  |  |  | 5.  y = 8x-44 \u003Cbr>6.  y = 14x-90  |  |  |  |  |  |  |  |\n| 5) | George earns $8 for each dog he walks. His transportation costs $44 per day. Which equation shows his profit, y, for walking x dogs in a day? |  |  |  | 7.  y = 6x-47 \u003Cbr>8. y = 24x + 41 |  |  |  |  |  |  |  |\n| 6) | A bakery earns $14 for each cake it sells. The bakery'","cbCaiafc9ZaFHUyr","https://ap.wps.com/l/cbCaiafc9ZaFHUyr","pdf",43862,"English","# Write the equation that models each situation\n## Solve for total cost, profit, or amount (items 1-12)","[{\"question\":\"What does x represent in these problems?\",\"answer\":\"In each situation, x represents the number of visits, items sold, sessions, or other measurable quantity specified in the prompt (such as pounds, square feet, or hours).\"},{\"question\":\"What does y represent in the linear model?\",\"answer\":\"y represents the total amount paid, total cost, or profit earned corresponding to the value of x in that scenario.\"},{\"question\":\"What type of equation is expected for each situation?\",\"answer\":\"Each problem expects a linear equation that models the relationship between y and x, using the given fixed fees and per-unit rates.\"}]","Writing Linear Models from Situations - Answer Key | PDF",1790804101]