the table shows frank and his brothers monthly salaries.\n| | pay method |\n|--|--| \n| daniel | a…

the table shows frank and his brothers monthly salaries.\n| | pay method |\n|--|--| \n| daniel | a commission of 15% on his weekly sales. |\n| frank | a weekly salary of $450 plus an 18% commission on his weekly sales over $4,000. |\none week, frank and daniel each have sales of $9,500. who earned more money that week?\n\n earned more money.\nhow much more?

the table shows frank and his brothers monthly salaries.\n| | pay method |\n|--|--| \n| daniel | a commission of 15% on his weekly sales. |\n| frank | a weekly salary of $450 plus an 18% commission on his weekly sales over $4,000. |\none week, frank and daniel each have sales of $9,500. who earned more money that week?\n\n earned more money.\nhow much more?

Answer

Explanation:

Step1: Calculate Daniel's earnings

Daniel has a 15% commission on sales of $9,500. The formula for his earnings $E_D$ is $E_D = 0.15\times9500$. $E_D=0.15\times9500 = 1425$.

Step2: Calculate Frank's earnings

Frank has a base - weekly salary of $450 and an 18% commission on sales over $4,000. The amount of sales over $4,000 is $9500 - 4000=5500$. His earnings $E_F$ is the sum of the base salary and the commission. The formula is $E_F=450 + 0.18\times(9500 - 4000)$. $E_F=450+0.18\times5500=450 + 990=1440$.

Step3: Compare their earnings

Find the difference $\Delta E=E_F - E_D$. $\Delta E=1440 - 1425 = 15$.

Answer:

Frank earned more money. He earned $15 more.