Question

question fawzia bought a bag containing 80 small candies. she starts eating the candies at a rate of 4 candies per minute. answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag. 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 c(x)= so c(2)=, meaning

Explanation:

Step1: Identify independent variable

The number of minutes eating is what we can control, so the independent variable $x$ represents the number of minutes eating.

Step2: Identify dependent variable

The number of candies left depends on the number of minutes eating. So the dependent variable is the number of candies left in the bag.

Step3: Form the function

We start with 80 candies and eat 4 candies per minute. So the function is $C(x)=80 - 4x$.

Step4: Calculate $C(2)$

Substitute $x = 2$ into the function $C(x)=80-4x$. So $C(2)=80-4\times2=80 - 8=72$. This means that after 2 minutes, there are 72 candies left in the bag.

Answer:

The independent variable, $x$, represents the number of minutes eating, and the dependent variable is the number of candies left in the bag, because the number of candies left depends on the number of minutes eating. A function relating these variables is $C(x)=80 - 4x$. So $C(2)=72$, meaning after 2 minutes, there are 72 candies left in the bag.