PLEASE HELP PRE CAL!!

Width = 2x²

Length = 7x² + 3

Step-by-step explanation:

∵ The area of a rectangle is

∵ Its width is the greatest common monomial factor of and 6x²

- Let us find the greatest common factor of 14 , 6 and , x²

∵ The factors of 14 are 1, 2, 7, 14

∵ The factors of 6 are 1, 2, 3, 6

∵ The common factors of 14 and 6 are 1, 2

∵ The greatest one is 2

∴ The greatest common factor of 14 and 6 is 2

- The greatest common factor of monomials is the variable with

   the smallest power

∴ The greatest common factor of and  x² is x²

∴ The greatest common monomial factor of   and 6x² is 2x²

∴ The width of the rectangle is 2x²

To find the length divide the area by the width

∵ The area =

∵ The width = 2x²

∴ The length = ( ) ÷ (2x²)

∵   ÷ 2x² = 7x²

∵ 6x² ÷ 2x² = 3

∴ ( ) ÷ (2x²) = 7x² + 3

∴ The length of the rectangle is 7x² + 3

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x