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:

The equation in standard form is given Ax+By+C = 0
where x is the gradient of a straight line (or the rate of change)

The rate of change = (113-43) / (8-3) = 70/5 = 14
This value means there's an increase of $14 for every hour rented.

We also need to work out the value of C, which is the fixed value (happen at x=0)

We know that Amir paid $43 for 3 hours. 
Amir would have paid $29 for 2 hours
Amir would have paid $15 for 1 hour
Since the hourly rate is $14, the fixed fee is 15 - 14 = $1

The equation that represents the total cost of renting a scooter is

y = 14x + 1

Rearranging this equation to get the standard form
14x - y + 1 = 0

Part B:

Writing the equation as function ⇒ f(x) = 14x + 1

Part C:

To graph the equation, we can start by choosing the x-intervals, say we have the value of x between 0 and 10

x   0   1     2    3    4    5    6     7    8     9     10
y   1   15  29  43  57  71   85   99  113  127  141

Each pair of x-value and y-value is then plotted on a graph then each plot is joined to draw a straight line.