Question

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

Answer 1

Linear equations are represented by straight line.

The required graph is graph (a).

The given parameters are:

$\mathbf{Rate =15}$

Let x represents the number of weeks, and y represents the number of words in week x.

So, we have:

$\mathbf{y = Rate \times x}$

Substitute 15 for Rate

$\mathbf{y = 15\times x}$

$\mathbf{y = 15x}$

The above equation means that:

$\mathbf{(x,y) = (0,0)(1,15),(2,30)....}$

The graph that represents the above ordered pair is graph (a).

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