1) What is the area of a rectangle if the length is 4x+3 and the width is 3x.

2) What is the perimeter is the rectangle is x = 8. Show your work.

1)

2)118

Step-by-step explanation:

1) Area = length × breadth

Area = (4x + 3)3x

Area =

2) When x = 8 ,

length = 4(8) + 3 = 35

breadth = 3(8) = 24

Perimeter = 2 (length + breadth)

Perimeter = 2 (35 + 24)

= 2 × 59 = 118

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the monthly balance will be $75,000