Question

NEED HELP PLEASEEEE!!!! I WILL MARK!!!

Q.15

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 4 times t minus 5 end quantity over the quantity t squared minus 7 times t plus 6 end quantity


Which equation represents the average sales each day for the real estate company?


A. S equals the quantity 6 times t plus 5 end quantity over the quantity t minus 1 end quantity

B. S equals the quantity 6 times t minus 5 end quantity over the quantity t plus 1 end quantity

C. S equals the quantity t minus 5 end quantity over the quantity t plus 6 end quantity

Answer 1

To find the equation representing the average sales each day for the real estate company, we need to determine the inverse of the given function.

The function is defined as:

Inverse of S = (t^2 + 4t - 5) / (t^2 - 7t + 6)

To find the inverse, we interchange the roles of S and t:

S = (Inverse of t^2 + 4(Inverse of t) - 5) / (Inverse of t^2 - 7(Inverse of t) + 6)

Simplifying further, we get:

S = (Inverse of t^2 + 4(Inverse of t) - 5) / (Inverse of t^2 - 7(Inverse of t) + 6)

Now, let's examine the given options:

A. S = (6t + 5) / (t - 1)

B. S = (6t - 5) / (t + 1)

C. S = (t - 5) / (t + 6)

Comparing these options with the derived equation for S, we can conclude that the correct equation representing the average sales each day for the real estate company is:

C. S = (t - 5) / (t + 6)

`\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}`

♥️
`\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}`