Part a: 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. write an equation in the standard form to represent the total rent (y) that amir has to pay for renting the scooter for x hours.

part b: write the equation obtained in part a using function notation.

part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals.

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.

Thus,
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.