12. A landscaper buys a new commercial-grade
lawn mower that costs $2,800. Based on
past experience he expects it to last about 8
years, and then he can sell it for scrap metal
with salvage value of about $240. Assuming
the value of the lawn mower depreciates at
a constant rate, which equation could be
used to find its approximate value after x
years, given that x < 8?

Respuesta :

The equation could be used to find the approximate value after x years is y = -320x + 2,800.

Linear equation of the cost model

The equation could be used to find the approximate value after x years, is calculated as follows;

y = mx + c

where;

  • c is the constant, equivalent to the initial cost = $2,800
  • m is the rate of change of cost

initial points (0, 2,800)

final points (8, 240)

m = (240 - 2800)/(8 - 0)

m = -320

y = -320x + 2,800

Thus, the equation could be used to find the approximate value after x years is y = -320x + 2,800.

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