Final answer:
The equation to compare Jim's current salary with his new salary structure is D) 450 + 0.02s = 300 + 0.04s. This sets his current earnings equal to his potential new earnings, allowing us to solve for the sales needed to keep his salary unchanged.
Step-by-step explanation:
The question requires setting up an equation to compare Jim's current and new salary based on his sales. In his current job, Jim earns $300 per week plus 4% commission on sales. With the new terms, he would earn a base salary of $450 plus 2% commission on sales. To find the amount of sales (s) needed for his salary to remain unchanged, we can use the equation representing the current salary and set it equal to the new salary:
300 + 0.04s = 450 + 0.02s
This equation balances Jim's current earnings on the left with his potential new earnings on the right, taking into account both base salary and commission percentage of sales (s). Therefore, the correct answer is D) 450 + 0.02s = 300 + 0.04s.The equation that represents the amount in sales Jim will need for his salary to be the same under the new equation is option A) 450 + 25 = 300 + 4s. The new equation states that he will make a fixed amount of $450 plus earn 4% commission on his sales. To find the amount in sales he needs, we set the equation equal to the current equation: 450 + 25 = 300 + 4s. We solve for 's' by subtracting 300 from both sides of the equation and then dividing by 4, giving us s = 31.25.