warren works for an electronics store. he earns a salary of $800 plus a 6% commission the first $10 000 in…
warren works for an electronics store. he earns a salary of $800 plus a 6% commission the first $10 000 in sales he makes each month, and a 9% commission on sales over $10 000. his sales per month are shown in the chart below. complete the chart\nmonth salary ($) sales($) commission on sales of $10 000 or less amount of sales over $10 000 commission on sales over $10 000 total earnings($)\njan 800 8 545\nfeb 800 12 000\nmar 800 15450\napr 800 11380\ntotal earnings\nwendy earns straight commission selling cars. she earns 0.5% on sales of $600 000 or less and 0.7% on all sales over $600 000. last month her sales totalled $750 000. how much did she earn?\nwyatt earns $600 a month and 4% commission on sales of $15 000 or less, and 7% on sales over $15 000. his sales for 4 months are shown below. complete the chart.\nmonth salary ($) sales($) commission on sales of $15 000 or less amount of sales over $15 000 commission on sales over $15 000 total earnings($)\njan 16500\nfeb 18775\nmar 14350\napr 19575\ntotal earnings
Answer
Explanation for Warren:
Step 1: Calculate for January
Sales are $8545$ which is less than $10000$. Commission on sales of $10000$ or less is $6%$. Commission = $0.06\times8545 = 512.7$. Amount of sales over $10000$ is $0$. Commission on sales over $10000$ is $0$. Total earnings = $800 + 512.7=1312.7$.
Step 2: Calculate for February
Sales are $12000$. Commission on first $10000$ at $6%$: $0.06\times10000 = 600$. Amount of sales over $10000$ is $12000 - 10000=2000$. Commission on sales over $10000$ at $9%$: $0.09\times2000 = 180$. Total earnings = $800+600 + 180=1580$.
Step 3: Calculate for March
Sales are $15450$. Commission on first $10000$ at $6%$: $0.06\times10000 = 600$. Amount of sales over $10000$ is $15450 - 10000 = 5450$. Commission on sales over $10000$ at $9%$: $0.09\times5450=490.5$. Total earnings = $800 + 600+490.5 = 1890.5$.
Step 4: Calculate for April
Sales are $11380$. Commission on first $10000$ at $6%$: $0.06\times10000 = 600$. Amount of sales over $10000$ is $11380 - 10000=1380$. Commission on sales over $10000$ at $9%$: $0.09\times1380 = 124.2$. Total earnings = $800+600 + 124.2=1524.2$.
Month
Salary ($)
Sales($)
Commission on sales of $10000$ or less
Amount of sales over $10000$
Commission on sales over $10000$
Total Earnings($)
Jan
800
8545
512.7
0
0
1312.7
Feb
800
12000
600
2000
180
1580
Mar
800
15450
600
5450
490.5
1890.5
Apr
800
11380
600
1380
124.2
1524.2
Explanation for Wendy:
Step 1: Calculate commission on first $600000$
Commission on first $600000$ at $0.5%$: $0.005\times600000=3000$.
Step 2: Calculate amount of sales over $600000$
Amount of sales over $600000$ is $750000 - 600000 = 150000$.
Step 3: Calculate commission on sales over $600000$
Commission on sales over $600000$ at $0.7%$: $0.007\times150000 = 1050$.
Step 4: Calculate total earnings
Total earnings = $3000+1050=4050$.
Explanation for Wyatt:
Step 1: Calculate for January
Sales are $16500$. Commission on first $15000$ at $4%$: $0.04\times15000 = 600$. Amount of sales over $15000$ is $16500 - 15000 = 1500$. Commission on sales over $15000$ at $7%$: $0.07\times1500=105$. Total earnings = $600+600 + 105=1305$.
Step 2: Calculate for February
Sales are $18775$. Commission on first $15000$ at $4%$: $0.04\times15000 = 600$. Amount of sales over $15000$ is $18775 - 15000=3775$. Commission on sales over $15000$ at $7%$: $0.07\times3775 = 264.25$. Total earnings = $600+600 + 264.25=1464.25$.
Step 3: Calculate for March
Sales are $14350$ which is less than $15000$. Commission on sales of $15000$ or less is $0.04\times14350 = 574$. Amount of sales over $15000$ is $0$. Commission on sales over $15000$ is $0$. Total earnings = $600+574=1174$.
Step 4: Calculate for April
Sales are $19575$. Commission on first $15000$ at $4%$: $0.04\times15000 = 600$. Amount of sales over $15000$ is $19575 - 15000 = 4575$. Commission on sales over $15000$ at $7%$: $0.07\times4575=320.25$. Total earnings = $600+600 + 320.25=1520.25$.
