Based on the following table of values for the function w(t), answer the questions below.

Question

t and w(t) are a table with the following values:
(100,2.6), (110,7.3), (120,12.7), (130,19), (140,26.1), (150,34.1)

a) Which of the following best describes the derivative of w(t)?
A. changes sign
B. always positive
C. always negative

b) Which of the following best describes the second derivative of w(t)?
A. always negative
B. changes sign
C. always positive

Answer 1

Sketch a graph of this function. Then the answers will be obvious.

Answer 2

Damon,
is it always positive and changes sign?

Answer 3

slope is always positive
the slope keeps increasing so second derivative is positive