Question

Rip van Winkle fell asleep for a very long time. The length of his beard ( In millimeters ) and a function of time ( in weeks ) is graphed.How fast did Rip van Winkle's beard grow?

Answer 1

2.5 mm/week

Explanation:

Given a graph of Rip van Winkle's beard length, you want to know its rate of growth.

Slope

We always like to find points on the graph where it crosses grid intersections when we're computing slope. We see that the point (0, 10) is a grid intersection. The next one to the right appears to be (10, 35).

The slope formula tells us the slope of the graph is ...

m = (y2 -y1)/(x2 -x1)

m = (35 mm -10 mm)/(10 weeks - 0 weeks) = (25 mm)/(10 weeks)

m = 2.5 mm/week

Rip van Winkle's beard grew 2.5 mm per week.

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