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

Funds fun jf j efj did i.e. c he'd midi code oexpwxo.pax,lexie x cucumber ice jd cud jd jf j k k j d

Answer from: Quest

statement #3: proof- ang is congruent to ang ecd : angles are congruent.

step-by-step explanation:

1: the missing angles in statement #3

a.) acb

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.

2: the missing word in reason #3

c.) vertical

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.

i hope that was and understanding.

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