Mathematics, 29.12.2019 23:31 kraigstlistt

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.

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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:
(x_1,y_1)

and

is given by:
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

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,
(x_1,y_1)=(3,43)

and

Thus, the equation of the line is given by:
$\frac{y-43}{x-3} = \frac{113-43}{8-3} = \frac{70}{5} =14 \\ \\ y-43=14(x-3)=14x-42 \\ \\ y=14x+1$

Therefore, the equation of the line in standard form is
14x-y=-1

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:
y=14x+1

Therefore, the equation obtained in Part A written using function notation is given by:
f(x)=14x+1

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.

Answer from: Quest

answer: 4 meters

step-by-step explanation: to you understand 2/3 better you can do 1 divided by 3 = . then multiply that by the 2 which is .66666666666666667 then you would do 6 x .66666666666666667 which is 4.

hope this .

Answer from: Quest

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote

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Part a: amir rented a scooter at $43 for 3 hours. if he rents the same scooter for 8 hours, he has...

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