Question

Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 8 millimeters long, and each passing week it grew 2 additional millimeters.
Graph the length of Rip van Winkle's beard (in millimeters) as a function of time (in weeks).

Please help me to understand how to graph this problem.

Answer 1

Answer:

L(w) = 8 mm + (2 mm/wk)(wk)

Step-by-step explanation:

L(w) = length of beard as a function of time in weeks

L(w) = 8 mm + (2 mm/wk)(wk)

Answer 2

Answer:

Given,

The original length of the beard = 8 mm

Each week additional length of beard = 2 mm

So, the addition length after x weeks = 2x mm,

Thus, the total length of beard after x weeks ( say f(x) ) = original length + additional length

⇒ f(x) = 8 + 2x

Which is the required function,

f(x) = 8 + 2x is a line,

If f(x) = 0, x = - 4,

So, the line passes through (-4,0),

if x = 0, f(x) = 8

So, the line passes through (0,8),

Hence, we can graph the above function by joining the points (-4,0) and (0,8) in the graph. ( shown below )