Question

Lauren had her hair cut to a length of 15in. In order to donate the hair to charity. Her hair then grew at a rate of one half in. Per month. Formulate a linear function to model the length​ L(t) of​ Lauren's hair t months after she had the​ haircut, and determine when her hair will be 40 in. Long.

Answer 1

a) The Linear function will be:

$L(t) = 15 + \frac{1}{2} (t)$

b) After 50 months, the length will be 40 inches.

Step-by-step explanation:

In this question we need to find the linear function to model length L(t). We are given:

Length of hair to donate = 15 in

Growth of hair per month = 1/2 in

The Linear function will be:

$L(t) = 15 + \frac{1}{2} (t)$

• Now, determining the time t when her hair length reaches 40 inches.

Length of hair L(t) = 40

We need to find t in the above linear function

$L(t) = 15 + \frac{1}{2} (t)$

$40 = 15 + \frac{1}{2}  (t)$

Subtracting 15 from both sides

$40 - 15 = \frac{1}{2} (t)\\25 = \frac{1}{2} (t)$

Multiplying 2 on both sides

$t = 25 * 2\\t = 50$

So, After 50 months, the length will be 40 inches.

Learn More:

1. Information about linear function

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