Question

Caden owns a popular retail website. The initial number of transactions that took place in the first hour of day is 10 and the number of transactions doubles every hour after that. Which statement best describes the initial number of transactions in this situation? The initial number of transactions is neither an independent nor a dependent variable. The initial number of transactions is an independent variable. The initial number of transactions is a dependent variable. The initial number of transactions is both an independent and a dependent variable.

Answer 1

Answer: The initial number of transactions is neither an independent nor a dependent variable.

Step-by-step explanation:

Here, The initial number of transactions that took place in the first hour of day is 10 and the number of transactions doubles every hour after that.

If x represents the number of hours and y represents Number of transaction after x hours.

Therefore, The function which represents the situation is,

$y = 10\times 2^x$

Where x is independent variable, while y is dependent variable.

Since initially x=0,   y=10 which is the initial transaction.

And, there is not any impact on the value of 10 by changing the values of x or y, Also 10 is not a variable( because it is a constant value)

Therefore neither it is dependent variable nor it is independent.

Answer 2

Answer:

The initial number of transactions is neither an independent nor a dependent variable.

Step-by-step explanation:

We know that the initial number of transactions that took place in the first hour of day is 10, i. e., a constant that is independent of the total number of transactions and the hour of the day. The independent variable is the time elapsed and the dependent variable is the total number of transactions made.