Question

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

Answer 1

0 ≤ x ≤ 12 is the answer to the question about the function's confined domain.

What exactly are linear equations, though?

Linear equations are equations that have average rates of change that remain the same across time. It is important to keep in mind that the slope and the gradient may also be thought of as the constant average rates of change.

How can we find out what the domain of the graph is?

A collection of at least two linear equations makes up what is known as a system of linear equations.

In this instance, the following arguments have been provided:

The current balance in the account is $350.

The amount that is removed every week is $35.

Take x to represent the number of weeks, and y to represent the total sum.

Therefore, we have:

y = 350 - 35x

When there is no quantity, the following occurs:

350 - 35x = 0

This results in

35x = 350

Divide by 35

x = 12

As a result, the range of values that fall inside the scope of the function is 0 to 12 inclusive.

In conclusion,

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