The purchase price of a home y (in $1000) can be approximated based on the annual income of the buyer x_1 (in $1000) and on the square footage of the

Cheyanne Leigh 2020-10-19 Answered
The purchase price of a home y (in $1000) can be approximated based on the annual income of the buyer x1 (in $1000) and on the square footage of the home x2( in 100ft2) according to y=ax1+bx2+c
The table gives the incomes of three buyers, the square footages of the home purchased, and the corresponding purchase prices of the home. a) Use the data to write a system of linear equations to solve for a, b, and c.
b) Use a graphing utility to find the reduced row-echelon form of the augmented matrix.
c) Write the model y=ax1+bx2+c
d) Predict the purchase price for a buyer who makes $100000 per year and wants a 2500ft2 home.
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saiyansruleA
Answered 2020-10-20 Author has 110 answers
y=ax1+bx2+c
We have to determine the function:
{80a+21b+c=180150a+28b+c=25075a+18b+c=160 Set up a system of equations for a,b,c:
[80211|180150281|25075181|160]
b) Build the augmented matrix:
[100|0.4010|6001|22]
Use a graphing utility to find the reduced row-echelon form of the augmented matrix: a=0.4,b=6,c=22
c) Determine a,b,c:
y=0.4x1+6x2+22
write the model y that fits the data:
y=0.4(100)+6(25)+22=212
d) Determine y for x1=100,x2=25
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