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<h3>Answer:</h3>
<u>Part A</u>:
- section A: 18
- section B: 288
<u>Part B</u>: rate of change in section B is 16 times as great
<h3>Explanation:</h3><u>Part A</u>:
The rate of change is computed as ...
... rate of change = (change in g(x)) / (change in x)
In section A, this is ...
... (change in g(x)) / (change in x) = (24 - 6)/(1 - 0) = 18
In section B, this is ...
... (change in g(x)) / (change in x) = (384 -96)/(3 -2) = 288
<u>Part B</u>:
The function, like any exponential function, increases at an increasing rate. The increase in the rate of change reflects the fact that as x increases, the rate of change of g(x) increases. (See the attachment for a graph.)
The average interest gained from three accounts in one year is $913.224
<u>Explanation:</u>
Given:
Bank A:
Principal, P₁ = $250.67
Rate, r₁ = 12 %
Bank B:
Principal, P₂ = $765.13
Rate, r₂ = 7 %
Bank C:
Principal, P₃ = $28500.36
Rate, r₃ = 9 %
Interest from Bank A:
Interest from Bank B:
Interest from Bank C:
Average interest gained from three accounts in one year :
Therefore, average interest gained from three accounts in one year is $913.224