Question

1. costs of homes can be very different in different parts of the united states.

a. an 1,800-square-foot home in orlando, florida, costs $729,000. what is the price per square foot? explain or show your reasoning.
b. a 2,400-square-foot home in arlington, texas, costs $235 per square foot. how much does this home cost? explain or show your reasoning.

Explanation:

Part (a)

Step1: Recall the formula for price per square foot

To find the price per square foot, we use the formula: \(\text{Price per square foot} = \frac{\text{Total cost}}{\text{Total square footage}}\)

Step2: Substitute the given values

We know the total cost is \(\$729,000\) and the total square footage is \(1800\) square feet. So we calculate: \(\frac{729000}{1800}\)

Step3: Perform the division

\(\frac{729000}{1800} = 405\)

Step1: Recall the formula for total cost

To find the total cost of the home, we use the formula: \(\text{Total cost} = \text{Price per square foot} \times \text{Total square footage}\)

Step2: Substitute the given values

We know the price per square foot is \(\$235\) and the total square footage is \(2400\) square feet. So we calculate: \(235\times2400\)

Step3: Perform the multiplication

\(235\times2400 = 564000\)

Answer:

The price per square foot is \(\$405\).

Part (b)