Question

eva bought a bag containing 75 small candies. she starts eating the candies at a rate of 2 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 n(x)=. so n(11)=, meaning .

Explanation:

Step1: Identify variables

The number of minutes eating is the independent variable $x$ since it can be freely chosen. The number of candies left in the bag depends on the number of minutes eating, so it is the dependent variable.

Step2: Form function

The initial number of candies is 75 and 2 candies are eaten per minute. So the function $N(x)=75 - 2x$.

Step3: Evaluate function

When $x = 11$, we substitute $x=11$ into $N(x)$: $N(11)=75-2\times11=75 - 22 = 53$. This means after 11 minutes of eating, there are 53 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 $N(x)=75 - 2x$.
So $N(11)=53$, meaning after 11 minutes of eating, there are 53 candies left in the bag.