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
$2000*6%= what and $3000*8%=? i have given you the answer without solving it for you but the answers to these add up to 360 but i still however want you to find out what each one equals by itself.
Part 1)
we have
------> equation A
------> equation B
Multiply by the equation A
------> equation C
Multiply by the equation B
-------> equation D
Adds equation C and equation D
therefore
<u>the answer Part 1) is the option A </u>
Part 2)
we have
------> equation A
Simplify Divide by both sides
------> equation B
the lines A and B are parallel lines, because the slope m is equal
so
The system has no solution
therefore
<u>the answer Part 2) is the option D</u>
There is no x value as there is no solution to the system.
Part 3)
we have
------> equation A
------> equation B
substitute equation B in equation A
therefore
<u>the answer part 3) is the option D</u>
Part 4)
Let
x---------> The number of one-step equations
y---------> The number of two-step equations
we know that
-------> equation A
------> equation B
substitute equation A in equation B
therefore
<u>the answer part 4) is the option D</u>