Answer:
Step-by-step explanation:
h(x) = 3 * (2)^x
Section A is from x = 1 to x = 2
h(1) = 3 * (2)^1 = 3 * 2 = 6
h(2) = 3 * (2)^2 = 3 * 4 = 12
so
the average rate of change = (12 - 6)/(2 - 1) = 6
Section B is from x = 3 to x = 4
h(3) = 3 * (2)^3 = 3 * 8 = 24
h(4) = 3 * (2)^4 = 3 * 16 = 48
so
the average rate of change = (48 - 24)/(4 - 3) = 24
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
the average rate of change of section B is 24 and the average rate of change of section A is 6
So 24/6 = 4
The average rate of change of Section B is 4 times greater than the average rate of change of Section A
It's exponential function, not a linear function; so the rate of change is increasing.
3/7 s = 6
[multiple by 7/3 on both sides]
s = 14
It is 25/6
<span>=<span>25/6
</span></span><span>(Decimal: 4.166667)</span>
2) Corresponding angles of parallel lines cut by a transversal are congruent.
3) Vertical angles are congruent.
4) Transitive Property. If angle 2 is congruent to angle 6 and angle 4 is congruent to 2, then angle 6 is congruent to angle 4.
