An equation of a function y (t) is shown.

y (t) = - t²+14t-40

Which of the following statements are true about the graph of y (t) for

6≤t≤8 and WHY?

a. The value of y (t) increases over the interval 6≤t≤7

b. The value of y (t) increases over the interval 7≤t≤8

c. The average rate of change over the interval 6≤t≤8 is 0

d. The value of y (t) is constant over the interval 6≤t≤8

e. The average rate of changer over the interval 6≤t≤7 is the same as the average rate of change over the interval 7≤t≤8

Question

Mathematics

Katrina Beasley

5 January, 10:33

An equation of a function y (t) is shown.

y (t) = - t²+14t-40

Which of the following statements are true about the graph of y (t) for

6≤t≤8 and WHY?

a. The value of y (t) increases over the interval 6≤t≤7

b. The value of y (t) increases over the interval 7≤t≤8

c. The average rate of change over the interval 6≤t≤8 is 0

d. The value of y (t) is constant over the interval 6≤t≤8

e. The average rate of changer over the interval 6≤t≤7 is the same as the average rate of change over the interval 7≤t≤8

+5

Answers (1)

Know the Answer?

Kolby Whitehead · Answer 1

From the given the function, y (t) = - t²+14t-40; the graph will be as shown below:

From the graph, it is evident that between the intervals 6 ≤t≤8:

The value of our function decreases over the given interval. Hence the answer is:

a. The value of y (t) increases over the interval 6≤t≤7