The side s of a square carpet is measured at 5 ft. Estimate using the Linear Approximation the maximum error in the area A of the carpet if s is accurate to 0.4 inches. (Round your answer to three decimal places.)

Step-by-step explanation:

We are given that

Side of square carpet,s=5 ft

1 foot=12 in

We have to find the maximum error in the area of the carpet by using the linear approximation .

Area of square,A=

Substitute the values

Hence, the maximum error in the area of the carpet=

C. substitute the expression equal to the solved variable into the other equation

Step-by-step explanation:

In a system of equations for any method, for this example I'll use subtraction, first, you isolate the variable in the equation. In your question this is already done and it is asking for the next step. Second, you substitute the value of the found variable into the second equation and simplify for the other variable. Then, last, these terms can be substituted back into either equation to check.  

For example,

x + y = 4, 2x - 3y = 3 isolate x in the first equation

x = 4 - y substitute this into the second equation

2(4 - y) - 3y = 3 simplify

-5y = -5, or y = 1 substitute this into the second equation

x + 1 = 4 or x = 3

Solved this is (3,1)