9
AssignmentMultiple Select

Introduction to Functions

Question 9 • WV-Algebra I CR

Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check all that apply.The independent variable is represented by the output values.The dependent variable is the total number of paintings.The total number of paintings depends on the number of weeks that have passed.This scenario is a function because for each week that passes, there will be exactly one total number of paintings.The number of weeks is the output value.

Answer
A
The independent variable is represented by the output values.
B
The dependent variable is the total number of paintings.
C
The total number of paintings depends on the number of weeks that have passed.
D
This scenario is a function because for each week that passes, there will be exactly one total number of paintings.
E
The number of weeks is the output value.

Explanation

The number of weeks is the input, or independent variable, and the total number of paintings is the output, or dependent variable. The total depends on the weeks passed: after w weeks, Emma has 7 + 3w paintings. Each number of weeks gives exactly one total number of paintings, so the relationship is a function. Therefore, the true statements are that the total number of paintings is dependent on the weeks and that the scenario is a function.

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