Given Percent Can Be Expressed In Decimal Form Example

Given That Percent Can Be Expressed In Decimal Form Example 25 Of A

Given that percent can be expressed in decimal form (example: 25% of a value y can be written as 0.25y) answer the following: Tom uses the linear model of y = 35,000 + 0.45x to anticipate his salary from completing x amount of dollars' worth of jobs. What is Tom's base salary? What percent commission does he earn? Would you be able to use the same equation for Tom the next year? Why or why not? please use the attachment as a guideline. the final paer has to look like this and answer all the questions must be answered in word form.

Paper For Above instruction

In analyzing Tom's salary model, expressed as y = 35,000 + 0.45x, we can identify key components that reveal both his base salary and his percentage commission. This model suggests that Tom's total salary (y) depends on a fixed amount plus a commission based on the value of the jobs he completes.

Firstly, Tom's base salary is the amount he earns regardless of the work he completes. In the given linear model, this fixed starting amount is represented by the constant term, which is 35,000. This indicates that Tom's base salary is $35,000 per year, regardless of his sales or the value of the jobs completed. The base salary provides financial stability and forms the foundation of his earnings, ensuring he receives a certain income even if no jobs are completed.

Secondly, to interpret the commission rate, we look at the coefficient of x, which is 0.45. Since the problem states that the percent can be expressed as a decimal, the 0.45 represents a 45% commission rate on the dollar value of the jobs completed. Therefore, Tom earns a 45% commission on the total dollar amount of work he does. This high commission rate incentivizes Tom to complete more jobs, as his earnings directly increase with the value of his work.

Regarding the question of whether the same equation could be used for Tom next year, the answer depends on several factors. The linear model assumes that both the base salary and commission rate remain constant over time. If Tom's employer maintains this salary structure and commission rate, then the same equation could be used in the following year. However, if either the base salary or commission rate changes—due to inflation, company policy adjustments, or changes in the industry—the model would need to be updated to accurately reflect Tom's new earnings potential.

Furthermore, external factors such as changes in the market demand for Tom's services or new competition could influence the appropriateness of the model. If Tom's performance or the economic environment shifts significantly, relying on the same linear model might not accurately predict his future income. Therefore, while the same mathematical model can be used conceptually, it may require adjustments to reflect actual conditions and contractual terms in subsequent years.

In summary, Tom's base salary, as indicated by the model, is $35,000, and his commission rate is 45%. The equation could be used again next year if these terms remain unchanged; otherwise, modifications would be necessary to account for any changes in his salary structure or external economic factors.

References

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