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The rasmus rental company own 1600 apartments, currently 800 of the apartments are being rented at $300 per month. A market survey shows the each $5 decreased in the month rent will result in 20 more apartments being rented. Determine a function that models the total monthly rental income, where x is the number of $5 decreases in monthly rent

User Yovanny
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1 Answer

6 votes


f(x)=
Min(800+(20* x),1600) * Max(300-(5* x),0)

Explanation:

Initial the number of apartments rented are
800

Initial rent for each apartment is $
300

Given that the number of $5 decreases is
x

Number of apartments rented for
x number of decreases=
Min(800+(20* x),1600)

This is because the maximum number of apartments are 1600.

Rent for each apartment for
x number of decreases=
Max(300-(5* x),0)

This is because the rent cannot be negative.

So, the function for total rental income=
Min(800+(20* x),1600) * Max(300-(5* x),0)

User Nodemon
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