Question

david is buying bagels for a family gathering. each bagel costs $1.50. answer the questions below regarding the relationship between the total cost and the number of bagels purchased.
answer attempt 1 out of 2
the independent variable, x, represents the , and the dependent variable is the , because the depends on the .
a function relating these variables is k(x)=
so k(20)= , meaning 20

Explanation:

Step1: Identify independent and dependent variables

The number of bagels can be freely chosen. The total cost depends on the number of bagels. So the independent variable $x$ represents the number of bagels purchased, and the dependent variable is the total cost, because the total cost depends on the number of bagels purchased.

Step2: Form the function

Since each bagel costs $1.50$, the function relating the variables is $K(x)=1.5x$.

Step3: Evaluate the function at $x = 20$

Substitute $x = 20$ into $K(x)=1.5x$. So $K(20)=1.5\times20 = 30$. This means 20 bagels cost $30$.

Answer:

The independent variable, $x$, represents the number of bagels purchased, and the dependent variable is the total cost, because the total cost depends on the number of bagels purchased.
A function relating these variables is $K(x)=1.5x$.
So $K(20)=30$, meaning 20 bagels cost $30$.