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Which equation represents the total cost, y, for renting a bike x hours?\u003Cbr>2) A club earns $10 for each shirt it sells. The equipment to make the shirts costs $60. Which equation shows the club's profit, y, for selling x shirts?\u003Cbr>3) A shop earns $5 for each keychain it sells. The molds cost $40 to make. Which equation shows the shop's profit, y, for selling x keychains?\u003Cbr>4) Dave makes $1 for each cup of lemonade he sells. His supplies cost $15. Which equation shows his profit, y, for selling x cups?\u003Cbr>5) A photographer charges a booking fee of $60 plus $29 for each print. Which equation represents the total cost, y, for x prints?\u003Cbr>6) A movie streaming service charges $10 per month plus $0.40 for each rented film. Which equation represents the monthly bill, y, for x rented films?\u003Cbr>7) Jerry earns $7 for each dog he walks. His transportation costs $60 per day. Which equation shows his profit, y, for walking x dogs in a day?\u003Cbr>8) A skating rink charges an entry fee of $33 plus $24 for each skate rental. Which equation represents the total cost, y, for x skate rentals?\u003Cbr>9) A photographer charges a $66 booking fee plus $22 per print. Which equation represents the total cost, y, for x prints?\u003Cbr>10) Gwen makes $5 for each loaf of bread she sells at a market. Her booth costs $63 per day. Which equation shows how much she makes, y, for selling x loaves in a day?\u003Cbr>11) A car rental costs $39 per day plus $0.39 for each mile driven. Which equation represents the cost, y, of one day with x miles driven?\u003Cbr>12) A bowling alley charges a shoe rental fee of $23 plus $11 per game. Which equation represents the total cost, y, for x games? |  |  |  | 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>1\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 bike rental shop charges a $23 deposit plus $22 per hour. Which equation represents the total cost, y, for renting a bike x hours? |  |  |  |  | Answers\u003Cbr>1.  y = 22x + 23  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A club earns $10 for each shirt it sells. The equipment to make the shirts costs $60. Which equation shows the club's profit, y, for selling x shirts? |  |  |  | 2.  y = 10x-60 \u003Cbr>3.  y = 5x-40  |  |  |  |  |  |  |  |\n| 3) | A shop earns $5 for each keychain it sells. The molds cost $40 to make. Which equation shows the shop's profit, y, for selling x keychains? |  |  |  | 4.  y = 1x-15  |  |  |  |  |  |  |  |\n| 4) | Dave makes $1 for each cup of lemonade he sells. His supplies cost $15. Which equation shows his profit, y, for selling x cups? |  |  |  | 5.  y = 29x + 60 \u003Cbr>6.  y = 0.40x + 10  |  |  |  |  |  |  |  |\n| 5) | A photographer charges a booking fee of $60 plus $29 for each print. Which equation represents the total cost, y, for x prints? |  |  |  | 7.  y = 7x-60 \u003Cbr>8. y = 24x + 33 |  |  |  |  |  |  |  |\n| 6) | A movie streaming service charges $10 per month plus $0.40 for each rented film. Which equation represents the monthly bill, y, for x rented films? |  |  |  | 9.  y = 22x + 66  |  |  |  |  |  |  |  |\n| 7) | Jerry earns $7 for each dog he walks. His transportation costs $60 per day. Which equation shows his profit, y, for walking x dogs in a day? |  |  |  | 10.  y = 5x-63 \u003Cbr>11.  y = 0.39x + 39  |  |  |  |  |  |  |  |\n| 8) | A skating rink charges an entry fee of $33 plus $24 for each skate rental. Which equation represents th","cbCaiv6N8FeAR81L","https://ap.wps.com/l/cbCaiv6N8FeAR81L","pdf",444555,"English","# Writing Linear Equations from Situations\n## Bike rental, shirts, keychains, and lemonade\n## Photography, streaming, dog walking, skating rink\n## Additional scenarios: car rental, bowling, market bread","[{\"question\":\"What skill do these problems assess?\",\"answer\":\"They assess the ability to translate word situations into linear equations using x and y to represent quantity and cost or profit.\"},{\"question\":\"What do the numbers in each equation represent?\",\"answer\":\"The slope represents the per-unit rate (such as dollars per hour or per print), and the intercept represents the fixed starting amount like deposits or fees.\"},{\"question\":\"Where can students find the correct answers?\",\"answer\":\"The document includes an Answer Key that lists the equation for each numbered situation.\"}]","Writing Linear Models from Situations - Worksheet | PDF",1790804104,76]