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.

The correct answers are:

The dependent variable is the total number of paintings; The total number of paintings depends on the number of weeks that have passed; and This scenario is a function because for each week that passes, there will be exactly one total number of paintings.

Explanation:

The two variables involved in this situation are the total number of paintings and the number of weeks that have passed.

The number of paintings changes because of the number of weeks that have passed, so the number of paintings is the dependent variable, or output value. This means the number of weeks is the independent variable, or input value.

Since there is only one output, number of paintings, for each input, number of weeks, this is a function.

It is required to judge the properties of the function. The correct statements are:

Given information:

Already created painting by Emma is 7.

She creates 3 paintings each week after creating the first 7.

Let the number of weeks be x and the total painting made after x week be y.

The given condition can be mathematically written as,

Here, x is an independent variable (input) which is the number of weeks. y is a dependent variable (output) which is the total number of paintings made.

The given condition predicts a function as there is only one value of y for each value of x. It is a linear function.

So, the correct statements are:

Therefore, statements 2, 3, and 4 are correct.

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link

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

answer: it is d

step-by-step explanation: