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 number of weeks is the input, or independent variable, and the total number of paintings is the output, or dependent variable. Emma’s total depends on how many weeks pass: after w weeks, she has 7 + 3w paintings. Each number of weeks gives exactly one total, so the relationship is a function. Therefore, the true statements are that the total number of paintings is dependent, depends on the weeks, and forms a function.

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