Question

Constant Differences and Average Rate of Change

Answer 1

This is the work I did:

Difference in X

3-1=2
4-3=1
7-4=3
8-7=1

Difference in H(t)

5.5-0.5=5
8-5.5=2.5
15.5-8=7.5
18-15.5=2.5

I am just not sure how to interpret the data to know what is true.

Answer 2

look at each subsection
for example A the x-values are evenly spaced
find the difference between the values check is it the same difference between the x-values
just like you did above the difference is not the same so for A not true

Answer 3

It looks like b. f(x) does not have a constant difference so that doesn't look true either.

Answer 4

C. the average rate of change is not constant so I don't think that one is true either.

Answer 5

For D. there is not a average rate of change of 2.75 but that only leaves me with E. which I don't understand.

Answer 6

check again
c is true 2.5

Answer 7

I have G as the final answer.

Answer 8

Im a little confused about that I do see that its true?

Answer 9

E is asking is y = m x + b

Answer 10

Is F(x) a linear function ? do you get a straight line with a constant slope if you plot the points? or if you use the equation

Answer 11

With a constant slope it would be going up as a straight line.