Question

rahul bought a bag containing 90 small candies. he starts eating the candies at a rate of 5 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(6)= , meaning .

Explanation:

Step1: Identify variables

The number of minutes Rahul eats is the independent variable $x$. The number of candies left in the bag depends on the number of minutes eaten, so it is the dependent variable.

Step2: Form the function

He starts with 90 candies and eats 5 candies per minute. So the function is $C(x)=90 - 5x$.

Step3: Evaluate the function at $x = 6$

Substitute $x = 6$ into $C(x)$: $C(6)=90-5\times6=90 - 30=60$. This means after 6 minutes, there are 60 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 in the bag depends on the number of minutes eating.
A function relating these variables is $C(x)=90 - 5x$.
So $C(6)=60$, meaning after 6 minutes, there are 60 candies left in the bag.