Question

Maya has to type a document of 2160 words. The graph below shows her initial progress. If

Answer 1

The time it takes to type the document increases proportionately to the

number of words in the document.

• The time it would take to type the document is; 36 minutes

Reasons:

From the possible figure from a similar question, we have;

The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)

The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;

The slope of the graph = 60

The y-intercept = 0

The equation that represents the proportional relationship shown on the graph is therefore;

y = 60·x

Where;

y = The number of words

x = The time it takes to type the document

The time it would take Maya to type the document of 2,160 words is given as follows;

2,160 = 60·x

Therefore;

$\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}$

The time it would take Maya to type the document is x = 36 minutes

Learn more about proportional functions here:

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