Question

determine which equation best represents the situation. explain the meaning of each variable.
a. $y = \frac{1}{25}x + 300$
b. $y = 25x + 300$
c. $y = 300x + 25$
savings larry has $300. he saves $25 each week.
select choice: x represents the select choice and y represents the select choice

Explanation:

Step1: Analyze the linear - equation form

The general form of a linear equation is \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the \(y\) - intercept (initial value).

Step2: Identify the values in the problem

Larry has an initial amount of money. The initial amount of money he has is \(b = 300\) (the \(y\) - intercept). He saves \(25\) each week. The rate of change (slope) \(m\) is the amount he saves per week. If \(x\) is the number of weeks, then the amount of money he has after \(x\) weeks is \(y=25x + 300\).

Answer:

B. \(y = 25x+300\); \(x\) represents the number of weeks, \(y\) represents the total amount of money Larry has.