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Jill bought a used motorcycle from a seller online for $1,200. The seller will charge her $5 a day to store the motorcycle at his house until she is able to pick it up. You can use a function to describe the total amount of money Jill will owe the seller if she waits xx days to pick up the motorcycle.\newlineWrite an equation for the function. If it is linear, write it in the form g(x)=mx+bg(x) = mx + b. If it is exponential, write it in the form g(x)=a(b)xg(x) = a(b)^x.\newlineg(x)=‾g(x) = \underline{\hspace{3em}}

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Q. Jill bought a used motorcycle from a seller online for $1,200. The seller will charge her $5 a day to store the motorcycle at his house until she is able to pick it up. You can use a function to describe the total amount of money Jill will owe the seller if she waits xx days to pick up the motorcycle.\newlineWrite an equation for the function. If it is linear, write it in the form g(x)=mx+bg(x) = mx + b. If it is exponential, write it in the form g(x)=a(b)xg(x) = a(b)^x.\newlineg(x)=‾g(x) = \underline{\hspace{3em}}
  1. Purchase Details: Jill bought the motorcycle for $1,200\$1,200, which is a one-time payment.
  2. Storage Charges: The seller charges $5\$5 per day for storage.
  3. Total Cost Calculation: The total cost is the initial cost plus the daily storage cost times the number of days, represented as Total Cost=Initial Cost+(Daily Storage Cost×Number of Days)\text{Total Cost} = \text{Initial Cost} + (\text{Daily Storage Cost} \times \text{Number of Days}).
  4. Linear Function Form: The function is linear, so we use the form g(x)=mx+bg(x) = mx + b.
  5. Daily Storage Cost: mm is the daily storage cost, which is $5\$5.
  6. Initial Cost: bb is the initial cost of the motorcycle, which is $1,200\$1,200.
  7. Substitute into Equation: Substitute mm and bb into the equation: g(x)=5x+1200g(x) = 5x + 1200.

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