ANSWER
<u>QUESTION 17a</u>
We were given the relation,
, where y represents the number of new vocabularies learned, and x represents the number of weeks
Draw a horizontal line for number of weeks and a vertical line for number of vocabulary words using a scale of 5 units on both axes.
To graph this equation we need at least three points,
When
,
, 
So we plot the point 
When
,
, 
So we plot the point 
When
,
, 
So we plot the point 
Using a straight edge we draw a straight line through these three points.
The equation of the line is of the form
, where
is the slope.
This tells us that the 15 new vocabulary words are learned each week.
<u>QUESTION 17 B</u>
To find the number of new vocabulary words learnt after 5 weeks, we plug in
in to the equation.

This gives us

Therefore after 5 weeks, you learn 75 new vocabulary words.
<u>QUESTION 17 C</u>
We find the number of vocabulary words learned after 4 weeks and subtract it from the number of vocabulary words learned after 6 weeks'
To find the number of new vocabulary words learnt after 4 weeks, we plug in
in to the equation.

This gives us

Therefore after 4 weeks, you learn 60 new vocabulary words.
To find the number of new vocabulary words learnt after 6 weeks, we plug in
in to the equation.

This gives us

Therefore after 6 weeks, you learn 90 new vocabulary words.
We now subtract to get

Therefore you learn 30 more vocabulary words after 6 wees than after 4 weeks.