find the money made per piece sold described by this table. piecework pay pieces sold 1 2 3 4 5 money earned…

find the money made per piece sold described by this table. piecework pay pieces sold 1 2 3 4 5 money earned $35.00 $70.00 $105.00 $140.00 $175.00 $? per piece

find the money made per piece sold described by this table. piecework pay pieces sold 1 2 3 4 5 money earned $35.00 $70.00 $105.00 $140.00 $175.00 $? per piece

Answer

Explanation:

Step1: Identify the relationship

We know that the money - made per piece is the unit rate. We can find it by dividing the money earned by the number of pieces sold.

Step2: Choose a data - point

Let's take the first data - point where 1 piece is sold and $35 is earned. The formula for the unit rate $r$ is $r=\frac{\text{Money Earned}}{\text{Pieces Sold}}$. When Pieces Sold $n = 1$ and Money Earned $m=35$, then $r=\frac{m}{n}$.

Step3: Calculate the unit rate

Substitute $m = 35$ and $n = 1$ into the formula $r=\frac{m}{n}$. We get $r=\frac{35}{1}=35$. We can also check with other data - points. For example, when $n = 2$ and $m = 70$, $r=\frac{70}{2}=35$; when $n = 3$ and $m = 105$, $r=\frac{105}{3}=35$; when $n = 4$ and $m = 140$, $r=\frac{140}{4}=35$; when $n = 5$ and $m = 175$, $r=\frac{175}{5}=35$.

Answer:

$35$