Question

a middle school with z students ran a survey to determine the students favorite activities. the table indicates the number of students who enjoy each activity. answer parts a and b. click the icon to view the table of activities. a. write an expression in the table for each activity to represent the number of students who enjoy that activity most. activity word description expression dance 20 more than one - ninth of the students drama 32 fewer than four - ninths of the students baseball 30 more than one - ninth of the students (use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Analyze Dance activity

One - ninth of the students is $\frac{1}{9}z$. 20 more than that means we add 20 to $\frac{1}{9}z$. So the expression for Dance is $\frac{1}{9}z + 20$.

Step2: Analyze Drama activity

Four - ninths of the students is $\frac{4}{9}z$. 32 fewer than that means we subtract 32 from $\frac{4}{9}z$. So the expression for Drama is $\frac{4}{9}z-32$.

Step3: Analyze Baseball activity

One - ninth of the students is $\frac{1}{9}z$. 30 more than that means we add 30 to $\frac{1}{9}z$. So the expression for Baseball is $\frac{1}{9}z + 30$.

Answer:

• Dance: $\boldsymbol{\frac{1}{9}z + 20}$
• Drama: $\boldsymbol{\frac{4}{9}z-32}$
• Baseball: $\boldsymbol{\frac{1}{9}z + 30}$