The pattern is multiply by 5
2 x 5 = 10
10 x 5 = 50
50 x 5 = 250
250 x 5 = 1250
Answer
The next two terms: 250 and 1250
2, 10, 50,250, 1250
3, 5, 7
wanna know why, or do you not care?
The y intercept is 3 because that is where the point aligns to the axis
We can write the function in terms of y rather than h(x)
so that:
y = 3 (5)^x
A. The rate of change is simply calculated as:
r = (y2 – y1) / (x2 – x1) where r stands for rate
Section A:
rA = [3 (5)^1 – 3 (5)^0] / (1 – 0)
rA = 12
Section B:
rB = [3 (5)^3 – 3 (5)^2] / (3 – 2)
rB = 300
B. We take the ratio of rB / rA:
rB/rA = 300 / 12
rB/rA = 25
So we see that the rate of change of section B is 25
times greater than A