5. the wacky widget company pays its employees per widget made. fill in the table and calculate the amount…

Explanation:

Step1: Calculate Justin's earnings

Justin made 583 widgets. For the first 300 widgets: $3.25\times300 = 975$ For the next 250 widgets: $4.55\times250=1137.5$ The number of widgets over 550 is $583 - 550=33$, and for these he earns $5.95\times33 = 196.35$ Total earnings for Justin: $975+1137.5 + 196.35=2308.85$

Step2: Calculate Michael's earnings

Michael made 415 widgets. For the first 300 widgets: $3.25\times300 = 975$ The number of widgets between 300 and 415 is $415 - 300 = 115$, and for these he earns $4.55\times115=523.25$ Total earnings for Michael: $975+523.25 = 1498.25$

Step3: Calculate Steven's earnings

Steven made 547 widgets. For the first 300 widgets: $3.25\times300 = 975$ For the next 247 widgets (since $547-300 = 247$): $4.55\times247 = 1123.85$ Total earnings for Steven: $975+1123.85=2098.85$

Step4: Solve for the number of widgets for an average - earner of $1657.50$

Let's assume the number of widgets is $x$. If $x\leq300$, then the earnings are $3.25x$. But $3.25\times300=975<1657.50$, so $x > 300$. If $x\leq550$, then the earnings are $3.25\times300+4.55\times(x - 300)$. Set $3.25\times300+4.55\times(x - 300)=1657.50$ $975+4.55x-1365 = 1657.50$ $4.55x-390 = 1657.50$ $4.55x=1657.50 + 390$ $4.55x=2047.50$ $x=\frac{2047.50}{4.55}=450$ (but we need to check if this is valid. Since $450\leq550$, this is the number of widgets)

Answer:

Employee	Number of Widgets Assembled Last Month	$3.25 For Each of the First 300 Widgets	$4.55 For Each of the Next 250 Toys	$5.95 For Each Toy Over 550	Total Monthly Earnings
Justin	583	$975	$1137.5	$196.35	$2308.85
Michael	415	$975	$523.25	$0	$1498.25
Steven	547	$975	$1123.85	$0	$2098.85
Average - worker	450	-	-	-	$1657.50