The table of values represents a function f(x).
1 answer:
Answer:
The average rate of change over the interval [9,10] is greater than that over the interval [5,8] by 6490.
Step-by-step explanation:
The value of f(x) = 4052 for x = 9 and f(x) = 11014 for x = 10.
Therefore, the average rate of change of f(x) with respect to x over the interval [9,10] is given by
=
=
Now, the value of f(x) = 75 for x = 5 and f(x) = 1491 for x = 8.
Therefore, the average rate of change of f(x) with respect to x over the interval [5,8] is given by
=
=
Therefore, the average rate of change over the interval [9,10] is greater than that over the interval [5,8] by (6962 - 472) = 6490. (Answer)
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Answer:
y = - 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (- 2, - 1)
m = =
= - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 1), then
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation in slope- intercept form