Question

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?

Answer 1

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