Equation for the monthly mortgage payment

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In the standardized calculations used in the United States, c is given by the formula<span>: For example, for a home loan of $200,000 with a fixed yearly interest rate of 6.5% for 30 years, the principal is , the </span>monthly<span> interest rate is , the number of </span>monthly payments<span> is , the fixed </span>monthly payment<span> equals $1,264.14.</span>

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What is the average rate of change if this function interval x = -3 to x = 0

jok3333 [9.3K]

The average rate of change of the function, over the given interval is 2.

This question is incomplete, the complete question is:

What is the average rate of change of f(x) = 2x+10, if this function interval are x = -3 to x = 0.

<h3>What is the average rate of change over the interval?</h3>

The average rate of change of f(x) over the interval [a,b] is expressed as;

$\frac{f(b)-f(a)}{b-a}$

Given that;

f(x) = 2x + 10
Interval: [ -3, 0 ], a = -3 and b = 0

We substitute our values into the expression above.

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(0)-f(-3)}{0-(-3)}\\\\\frac{[2(0)+10]-[2(-3)+10]}{0-(-3)}\\\\\frac{[10]-[-6+10]}{3}\\\\\frac{[10]-[4]}{3}=\frac{6}{3}=2$