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Question
FOR 20 POINTS: What expression is represented in the model shown below?
1 answer:
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The average rate of change for the function f(x) can be calculated from the following equation
By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2 and f(2π) = 0
∴ The average rate of f =
(2) the second function g(x)
from the graph g(3π/2) = -2 and g(2π) = 0
∴ The average rate of g =
(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h =
By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>
So, the correct answer is option <span>C) h(x)</span>
By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2 and f(2π) = 0
∴ The average rate of f =
(2) the second function g(x)
from the graph g(3π/2) = -2 and g(2π) = 0
∴ The average rate of g =
(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h =
By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>
So, the correct answer is option <span>C) h(x)</span>
Answer:
Melanie's account balance now is $3182.87.
Step-by-step explanation:
Given:
Amount of money in her account = $3106.12
Amount deposited on Thursday = $85
Amount spent for lunch on Friday = $8.25
We need to find the remaining balance in Melanie's account.
Solution:
Now we know that;
Remaining balance in her account is equal to Amount of money in her account plus Amount deposited on Thursday minus Amount spent for lunch on Friday.
framing in equation form we get;
Remaining balance in her account =
Hence Melanie's account balance now is $3182.87.