A student in a foreign language program learns 15 new words each week. Which graph best represents the relationship between x, the number of weeks the student has been in the program and y, the total number of new words the student has learned? * 1 point Option 1 Option 2 Option 3 Option 4

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14-10-2021
Mathematics

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A student in a foreign language program learns 15 new words each week. Which graph best represents the relationship between x, the number of weeks the student has been in the program and y, the total number of new words the student has learned? * 1 point Option 1 Option 2 Option 3 Option 4

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joaobezerra joaobezerra · Answer 1 · 2022-01-31T11:20:09+01:00

Using a proportional relationship, it is found that the function that best represents the relationship between x, the number of weeks the student has been in the program and y, is [tex]y = 15x[/tex], and the graph is given at the end of the answer.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, the students learns 15 new words each week, hence, the equation is:

[tex]y = 15x, x \geq 0[/tex]

And the graph is given at the end of this answer.

To learn more about proportional relationship, you can take a look at https://brainly.com/question/13550871