Analyze the calculations given in the table and describe them using words. Then, use this rule in words to write the corresponding algebraic expression.
Rule in Words: Multiply the number of pairs of shoes sold by 2 and add 150. Algebraic Expression: 2n+150
Practice makes perfect
We are asked to model the given situation with a rule in words and an algebraic expression. Let's start with writing a rule in words, and then we will use it to form the corresponding algebraic expression.
Rule in Words
We are told that the salesperson earns a weekly salary of $150. Additionally, they are paid $2 per every pair of shoes sold. In the table, we are given the example earnings of the salesperson depending on the number of shoes they sold.
Pairs of Shoes Sold
Total Earned
5
$150+($2* 5)
10
$150+($2* 10)
15
$150+($2* 15)
n
?
As we can see, first $2 is multiplied by the number of pairs of shoes sold to find the total earnings of selling shoes, and then the weekly salary of $150 is added. Therefore, we can write the rule in words the following way.
Multiply the number of pairs of shoes sold
by $2$ and add $150$
Algebraic Expression
To write the rule as an algebraic expression, we first need to assign a variable to the number of pairs of shoes sold. Let n represent the number of pairs sold by the salesperson. Then, the corresponding algebraic expression is as follows.
Multiply the number of pairs of shoes sold
by $2$ and add $150$
⇓
2 n +150
