Mathematics, 30.04.2021 19:10 jeanieb

How is unit rate related to the linear equation?

Answers: 3

Show answers

Answers

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example

Step-by-step explanation:

Answer from: theannakittler7327

A proportional relationship between two quantities is one in which the two quantities vary directly with one and other. If one item is doubled, the other, related item is also doubled. Because of this, it is also called a direct variation. The equations of such relationships are always in the form y = mx , and when graphed produce a line that passes through the origin. In this equation, m is the slope of the line, and it is also called the unit rate, the rate of change, or the constant of proportionality of the function.

Answer from: Quest

answer: 2/4

step-by-step explanation:

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:00, evelynnn452

Ataxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile, or f = $2.25 + $0.20(m - 1) where f is the fare and m is the number of miles. if juan's taxi fare was $6.05, how many miles did he travel in the taxi? if juan's taxi fare was 7.65, how many miles did he travel in taxi

Answers: 1

continue

Mathematics, 21.06.2019 17:50, domiyisthom

On a string instrument, the length of a string varies inversely as the frequency of its vibrations. an 11-inch string has a frequency of 400 cylces per second. find the frequency of a 10-icnch string.

Answers: 2

continue

Mathematics, 21.06.2019 18:30, waterborn7152

Me complete this proof! prove that a quadrilateral is a square. me with the steps for this proof.

Answers: 1

continue

Mathematics, 21.06.2019 21:30, billydeck30

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.