Question

gianna bought a bag containing 85 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 5 the independent variable, x, represents the dependent variable is the depends on the , because the , and the a function relating these variables is z(x) = so z(9) = , meaning

Explanation:

Step1: Define variables

Let \( x \) = minutes, \( Z(x) \) = candles left.

Step2: Initial candles and rate

Initial: 85, rate: -4 per minute.

Step3: Form function

\( Z(x) = 85 - 4x \).

Step4: Calculate \( Z(0) \)

Substitute \( x=0 \): \( Z(0)=85-4(0)=85 \).

Answer:

The independent variable \( x \) represents the number of minutes. The dependent variable is the number of candles left, which depends on \( x \), because the number of candles left changes as minutes increase. A function relating these variables is \( Z(x) = 85 - 4x \). So \( Z(0) = 85 \), meaning the initial number of candles in the bag (at 0 minutes) is 85.