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Your friend is trying to grow her hair as long as her cousin's hair. The table (attached) shows their hair lengths (in inches) in different months.
a. Write a system of linear equations that represents this situation.
b. Will your friend's hair ever be as long as her cousin's? If so, in what month?

Your friend is trying to grow her hair as long as her cousins hair The table attached shows their hair lengths in inches in different months a Write a system of class=

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Answer:

Given the table that shows the hair lengths y (in inches) of your friend and her cousin in different months x.

Month Hair(in)

Friends Hair(in)

Cousins

3 8

4 6.5

7

9.

To solve for the cousins hair, recall that the equation of a line is given by

y = mx + c

From the table,

7= 3m + c... (1) 9 8m + c... (2)

(1)-(2) -2= -5m ⇒m = = 0.4

Substituting for m into equation (1) gives:

7 = 3(0.4) + c

⇒c=7 1.2 5.8 =

Therefore, the equation representing the growth of the cousin's hair is given by y = 17v+50

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