Question

Part A: Write a system of Linear Equations that represents this situation Part B:Will your friend’s hair ever be as long as her cousin’s hair? If so, in what month?

Answer 1

EXPLANATION

The system of linear equations that we could use to represent this situation is shown as follows:

Assuming that x represents the number of inches, the equation would be

y = mx + c

Thus, from the table we get

7 = 3m + c (1)

9 = 8m + c (2)

Subtracting (1) from (2):

-2 = -5m

m = -2/-5

Substituting for m into equation (1) gives:

7 = 3(0.4) + c

Then, c=7 - 1.2 = 5.8

In conclusion, the equation representing the growth of the cousin's hair is represented as y = 1.2x + 5.8