Final answer:
The relationship between a phone salesperson's salary and the number of phones sold can be represented by a linear equation. The equation is in the form y = mx + b, where m represents the commission per phone sold and b represents the minimum weekly salary. The constant rate of change (m) and initial value (b) can be determined from the given information.
Step-by-step explanation:
The relationship between the phone salesperson's salary and the number of phones sold can be expressed as a linear equation. Let y represent the total salary and x represent the number of phones sold. The equation can be written as y = mx + b, where m represents the constant rate of change (commission per phone sold) and b represents the initial value (minimum weekly salary).
From the table, we can determine the values of m and b. For example, if the salesperson's minimum weekly salary is $200 and they receive a $50 commission for each phone sold, the linear equation would be y = 50x + 200.
The constant rate of change (m) in this case is 50, which means that for every phone sold, the salesperson earns an additional $50. The initial value (b) is 200, representing the minimum weekly salary regardless of the number of phones sold.