Question

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

Which of the following models this situation?

• A. linear function with a negative rate of change
• B. linear function with a positive rate of change
• C. exponential decay function
• D. exponential growth function

Answer 1

The correct option is A

linear function with a negative rate of change

Explanation for the correct option:

Determining the correct statement

A linear function is of the form $y=mx+c$,

Where $x$ is an independent variable and $y$ is a dependent variable .

Here the dependent variable increase ( or decrease) with a constant rate of $c$.

Now, it is given that $\$1000$ is taken out of a bank vault and nothing is added back.

So, the money in the back vault is decreasing by a constant rate of $\$1000$.

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

Hence, option $A$ is the correct answer.