Solve the Problem $\frac { 1 } { 2 }$ Ounce Per Second; the Average Rate of Change in the to a Large

question 239

Multiple Choice

Solve the problem.
-A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 14 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains 26 ounces of water. Find and interpret the average rate of change in the volume of water per second.

• A) 4 ounces per second; the average rate of change in the volume of water is 4 ounces per second.
• B) 15 ounces per second; the average rate of change in the volume of water is 15 ounces per second.
• C) \(\frac { 1 } { 2 }\) ounce per second; the average rate of change in the volume of water is \(\frac { 1 } { 2 }\) ounce per second.
• D) 2 ounces per second; the average rate of change in the volume of water is 2 ounces per second.

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Definitions:

Initial Investment

The initial amount of money spent to start a project, investment, or business, often including costs such as purchasing equipment, property, or technology.

Internal Rate of Return

The discount rate at which the net present value of all the cash flows from an investment or project equals zero, used as a gauge for its profitability.

Working Capital

The amount of current assets minus current liabilities, indicating the liquidity of a business.

Net Present Value

The difference between the present value of cash inflows and the present value of cash outflows over a period, used in capital budgeting to assess the profitability of an investment.