(a) A person is paying $19.60 per week to a friend to repay a $196 loan. The situation matches graph Ov. The slope is which represents the decrease in the -Select-- v of the loan each week. The y-intercept is (x, y) which represents the -Select- v of the loan.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
![JHa Y-IAtercept of each graph and interpret the slope and y-intercept in the context of the situation. [The graphs are labeled (i), (ii), (), and (iv).]
(ii)
y
40
200
30
150
20
100
10
50
4.
6.
4.
6.
10
(i)
(iv)
30
800
25
600
20
15
400
10
200](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ab9a798-487f-4259-aa1c-b8578cf9ed49%2F2444aedf-dae1-43ce-b7dc-a5dbab6128c9%2F6gnpg55_processed.jpeg&w=3840&q=75)
![(a) A person is paying $19.60 per week to a friend to repay a $196 loan.
The situation matches graph O V. The slope is
which represents the decrease in the Select-
vof the loan each week. The y-intercept is (x, y)-(
I, which represents the -Select-
v of the
loan.
(b) An employee is paid $10.50 per hour plus $2 for each unit produced per hour.
The situation matches graph ()
The slope is
which represents the -Select- V hourly wage per unit produced. The y-intercept is (x, y) =(
which represents the --Select--V hourly wage.
(c) A sales representative receives $30 per day for food plus $0.34 for each mile traveled.
The situation matches graph )
v. The slope is
, which represents the increase in -Select-
v. The y-intercept is (x, y)-(
which represents the -Select---
(d) A computer that was purchased for $755 depreciates $100 per year.
I. which represents the
V. The slope is
which represents the decrease in the -Select--
Vof the computer each year. The y-intercept is (x, y) -
The situation matches graph [(M)
-Select---
of the computer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ab9a798-487f-4259-aa1c-b8578cf9ed49%2F2444aedf-dae1-43ce-b7dc-a5dbab6128c9%2Fb57q1zt_processed.jpeg&w=3840&q=75)
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