The value of a company is increasing at constant rate. In January 1990 the company was worth 10 million dollars and in January 2006 it was worth 66 million dollars. Lety stands for the value of the company in millions of dollars and x stands for the time in years since 1990. The relation between x and y is linear. a. Find equation of the line in slope intercept form. b. Write the unit of the slope. c. Write a sentence to explain the meaning of the slope. Use numbers and units in your explanation
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.
1. The value of a company is increasing at constant rate. In January 1990 the company was worth 10 million dollars and in January 2006 it was worth 66 million dollars. Lety stands for the value of the company in millions of dollars and x stands for the time in years since 1990. The relation between x and y is linear. a. Find equation of the line in slope intercept form. b. Write the unit of the slope. c. Write a sentence to explain the meaning of the slope. Use numbers and units in your explanation 2. Find a linear cost equation if thirty units cost $ 5640 and 120 units cost $1500. Use C for cost and x for number of units a. Find equation of the line in slope intercept form. b. Write the unit of the slope. c. Write a sentence to explain the meaning of the slope. Use numbers and units in your explanation. 3. The price of regular gas is growing linearly. The price was $1.94 per gallon in 2009 and it is $3.15 per gallon in 2011. Lety stands for the price of a gallon of regular gas and x stands for the time in years after 2008. Write a linear equation that models this data. a. Find equation of the line in slope intercept form. b. Write the unit of the slope. c. Write a sentence to explain the meaning of the slope. Use numbers and units in your explanation
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
