Answer: PART A:
Recall that the equation of a line in standard form is of the form:
ax + by = c
where a, b, and c are constants.
The equation of a line passing through two points:
and
is given by:
Given that Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.
This,
and
Thus, the equation of the line is given by:
Therefore, the equation of the line in standard form is
PART B:
To write the equation with a function notation, we first express y in terms of x and then change y notation to f(x) notation.
Recall from part 1:
Therefore, the equation obtained in Part A written using function notation is given by:
PART C:
To graph the equation obtained above, we draw the x- and y- axis with the x-axis labelled 'number of hours' and the y-axis labelled 'total rent'.
Next, we choose appropriate scales for x- and y- axis. Depending on the size of your graph book, you can choose an interval of 1 unit for the x-axis and an interval of 10 units for the y-axis.
From part A, we know that the line of the equation passes though points (3, 43) and (8, 113), mark these points and draw a straight line passing theough these points.
Explanation: