Mathematics, 22.08.2019 23:00 blymouton13

If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?

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Answer from: jfiicoh

If the tip, t, varies directly with the number of guests, g, then it means that any change in tip there is a corresponding change in the number of guests. When the tip increases the number of guests increases as well. Therefore,

t α g

To change the it to equal sign, we incorporate a proportionality constant, k.

t = kg

This equation will represent the relation of t to g.

Answer from: keepcalmands2930

t=kg

Step-by-step explanation:

t represents the tip

g represents the no. of guests

We are given that the tip varies directly with the number of guests

Direct relation equation : $x \propto y$

So, ATQ

Equation : $t \propto g$

t=kg

Where k is the constant of proportionality

So, equation represents the relationship between the tip, t, and the number of guests, g is t=kg

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

Answer from: Quest

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If the tip varies directly with the number of guests, which equation represents the relationship bet...