Depends on which rate of change you're talking about. The rate of change is another term for a slope of a function. There's two(2) different version of rate of change.
First version one is the instantaneous rate of change. aka derivative. This one is found simply by taking the derivative of a function.
Second version is the average rate of change, which is found using the slope formula, (y₂ - y₁)/(x₂ - x₁)
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Initial value problem should give you an initial point (x, y) to plug into your function. You plug those x,y value in to find your answer.
There's variation of initial value problems so I can't give you any specific details on how to do it unless you can post the question.
The answer is D, i.e. the system was solved via elimination
If you multiply the first equation by 5, the system becomes

If you sum the two equations, you get

And so if you substitute the second equation of system A with this new equation, you'll get system B.
Answer: 70
Step-by-step explanation:
12*10 = 120-50 = 70
Y=2/3x -5/2
Slope is equal to the parallel line (2/3)
Find y intercept by setting y and x equal the given coordinates and solve.