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A real estate company balances the books for its business on the first day of each month. It hopes to sell houses every other day of the month. The average number of houses, S, the company sells each day, t, is represented by the inverse of the function Inverse of S is equal to the quantity t squared plus 3 times t minus 4 end quantity over the quantity t squared minus 6 times t plus 6 end quantity

Which equation represents the average sales each day for the real estate company?
S equals the quantity 5 times t minus 4 end quantity over the quantity t plus 1 end quantity
S equals the quantity 4 times t plus 4 end quantity over the quantity t minus 1 end quantity
S equals the quantity t minus 4 end quantity over the quantity t plus 5 end quantity
S equals the quantity t plus 4 end quantity over the quantity t minus 4 end quantity

Respuesta :

greentoowon

Answer:

The simplified expression is S = (t^2 - 6t + 6) / (t^2 + 3t - 4).

None of the provided equations matches this form.

Step-by-step explanation:

Let's look at the provided options:

a. S = (5t - 4) / (t + 1)

b. S = (4t + 4) / (t - 1)

c. S = (t - 4) / (t + 5)

d. S = (t + 4) / (t - 4)

None of these options matches the simplified form of the average sales each day. The correct expression is S = (t^2 - 6t + 6) / (t^2 + 3t - 4), which is not represented in the provided choices.

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