$1000 is taken out of a bank vault each day and nothing is added back. Which of the following models this situation?

linear function with a negative rate of change

linear function with a positive rate of change

exponential decay function

exponential growth function

Verified Answer :

Negative rate of change I think.

Answer: linear function with a negative rate of change

Step-by-step explanation:

A linear function is of the form \(y=mx+c\) where x is a independent variable and y is a dependent variable . Here the dependent variable increase ( or decrease)c with a constant rate of  increase (or decrease).

An exponential functionis a mathematical function of the form \(y=Ab^x\) where x is a independent variable, and A is a constant called the initial value of the function. Here the dependent variable increase ( or decrease)c with a constant ratio or percentage.

Given: $1000 is taken out of a bank vault each day and nothing is added back.

So the money in the bank vault decreasing by a constant rate of $1000.

Thus, this shows linear function with a negative rate of change models the situation.