a salesperson is paid a flat rate plus a fixed percentage of her sales. last month, she sold $16,000 worth…

a salesperson is paid a flat rate plus a fixed percentage of her sales. last month, she sold $16,000 worth of goods and was paid $1,600. two months ago, she had $12,000 in sales and was paid $1,400. this month she sold $11,000 worth of goods. how much will she be paid?\n$550\n$855\n$1,100\n$1,350

a salesperson is paid a flat rate plus a fixed percentage of her sales. last month, she sold $16,000 worth of goods and was paid $1,600. two months ago, she had $12,000 in sales and was paid $1,400. this month she sold $11,000 worth of goods. how much will she be paid?\n$550\n$855\n$1,100\n$1,350

Answer

Explanation:

Step1: Set up equations

Let the flat - rate be $x$ and the percentage rate be $r$. We have the equations: $x + 16000r=1600$ and $x + 12000r=1400$.

Step2: Subtract the second equation from the first

$(x + 16000r)-(x + 12000r)=1600 - 1400$. $4000r = 200$, so $r=\frac{200}{4000}=0.05$.

Step3: Find the flat - rate $x$

Substitute $r = 0.05$ into $x + 12000r=1400$. $x+12000\times0.05=1400$. $x+600 = 1400$, so $x = 800$.

Step4: Calculate this month's pay

This month, with sales of $11000$, the pay is $y=x + 11000r$. Substitute $x = 800$ and $r = 0.05$: $y=800+11000\times0.05$. $y=800 + 550=1350$.

Answer:

$1350$