Question

3. Solve for the intersection of the two properties (two variable systems of equations using thecost and the Square Footage as the variables)a. Condo: $2.2 million / 1946 sq feetb. House : $.3 million / 4681 sq feet

Answer 1

Part A

Condo: $2.2 million / 1946 sq feet

Let

y ----> total cost in dollars

x ---> Square Footage

the equation is of the form

y=kx

where

k is the constant of proportionality

k=y/x

k=2,200,000/1,946=$1,130.52 per square footage

therefore

the equation for the total cost of a Condo is

y=1,130.52x

Part B

House : $.3 million / 4681 sq feet

Let

y ----> total cost in dollars

x ---> Square Footage

the equation is of the form

y=kx

where

k is the constant of proportionality

k=y/x

k=300,000/4,681=$64.09 per Square Footage

therefore

the equation for the total cost of a house is

y=64.09x