28.3k views
4 votes
Hasan has $300 in his savings account. Each week, he withdraws $25 from his account without replenishing it. The following graph represents the amount of money in Hasan's savings account after x weeks. A graph of the linear function decreasing from the left passing through the points 0 comma 300 and 12 comma 0. Based on the context, what is the domain restricted to? ℝ x ≥ 0 0 ≤ x ≤ 12 0 ≤ x ≤ 300

1 Answer

4 votes

Answer: The domain restricted to the function is 0 <= x <= 12

What are linear equations?

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the domain of the graph?

A system of linear equations is a collection of at least two linear equations.

In this case, the given parameters are:

Amount in the account = $350

Amount deducted each week = $35

Let the number of weeks be x, and the total amount be y

So, we have:

y = 350 - 35x

When the amount is 0, we have:

350 - 35x = 0

This gives

35x = 350

Divide by 35

x = 12

Hence, the domain restricted to the function is 0 <= x <= 12

User Prasad Weera
by
3.0k points