The equation that models the scenario is y = 12.95 + 14.95x
The given parameters are:
Ranch charge = $12.95
Entrance fee = $14.95 per house
Represent the number of houses with x, and the total charge with y
So, we have:
y = Ranch charge + Entrance fee * x
This gives
y = 12.95 + 14.95x
Hence, the equation that models the scenario is y = 12.95 + 14.95x
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