Question

Rip van Winkle has fallen asleep for a very long time.
The length of his beard (in millimeters) as a function of time (in weeks) is graphed.
A first quadrant coordinate plane. The horizontal axis is from zero to thirty-five with a scale of five and is titled Time in weeks. The vertical axis is from zero to ninety with a scale of ten and is titled Beard length in millimeters. The graph of the line is y equals two point five x plus ten.














How fast did Rip van Winkle's beard grow?
Choose 1 answer:
Choose 1 answer:
(Choice A)


millimeters per week
A


millimeters per week
(Choice B)

millimeters per week
B

millimeters per week
(Choice C)

millimeters per week
C

millimeters per week
(Choice D)

millimeters per week
D

millimeters per week

Answer 1

To determine the growth rate of Rip van Winkle's beard, we can analyze the equation of the line given in the problem:

\( y = 2.5x + 10 \)

In this equation, \( y \) represents the beard length in millimeters, and \( x \) represents the time in weeks. The coefficient of \( x \), which is 2.5, represents the slope of the line.

The slope indicates the rate of change of the beard length with respect to time, meaning that Rip van Winkle's beard grows at a rate of **2.5 millimeters per week**.

Thus, the answer is:

**2.5 millimeters per week**.