## Related questions with answers

Question

A real estate office handles an apartment complex with 50 units. When the rent is $380 per month, all 50 units are occupied. When the rent is$425, however, the average number of occupied units drops to 47. Assume that the relationship between the monthly rent p and the demand x is linear. (The term demand refers to the number of occupied units.)

Linear Extrapolation Predict the number of occupied units when the rent is set at $455.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2To predict the number of occupied units when the rent is set at $\$455$, all we need to do is substitute $p$ in the equation:

$\begin{aligned} x&=-\frac1{15}\cdot455+\frac{226}3 \\ &=45 \end{aligned}$

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