complete parts (a) through (c) below. output variable = compound interest i) write the function in the form…

complete parts (a) through (c) below. output variable = compound interest i) write the function in the form “output is a function of the input.” choose the correct answer below. a. interest rate is a function of compound interest. b. the compound interest is a function of interest rate. ii) explain how the example fits the definition of a function. choose the correct answer below. a. for a given interest rate, there can be more than one corresponding amount of compound interest. b. for a given interest rate, there is exactly one corresponding amount of compound interest. b) switch the input and the output of the function determined in part a. choose the correct answer below. a. interest rate is related to compound interest. b. compound interest is related to interest rate. i) identify the input and the output. input variable = interest rate output variable = compound interest

complete parts (a) through (c) below. output variable = compound interest i) write the function in the form “output is a function of the input.” choose the correct answer below. a. interest rate is a function of compound interest. b. the compound interest is a function of interest rate. ii) explain how the example fits the definition of a function. choose the correct answer below. a. for a given interest rate, there can be more than one corresponding amount of compound interest. b. for a given interest rate, there is exactly one corresponding amount of compound interest. b) switch the input and the output of the function determined in part a. choose the correct answer below. a. interest rate is related to compound interest. b. compound interest is related to interest rate. i) identify the input and the output. input variable = interest rate output variable = compound interest

Answer

Brief Explanations:

i) The output is compound interest and input - related variable is interest rate, so compound interest is a function of interest rate. A function has a unique output for a given input. For a fixed interest rate, there is exactly one compound - interest value calculated using the compound - interest formula. When we switch the input and output, we say interest rate is related to compound interest as now we are considering how the interest rate can be determined from a given compound - interest value. ii) In a function, for each value of the input variable (interest rate), there is exactly one value of the output variable (compound interest). iii) When we switch the original function, the new input is compound interest and the new output is interest rate.

Answer:

i) B. The compound interest is a function of interest rate. ii) B. For a given interest rate, there is exactly one corresponding amount of compound interest. b) A. Interest rate is related to compound interest. i) Input variable: compound interest Output variable: interest rate