Determine if the graph shows two quantities that vary directly. if possible, determine the constant of proportionality. explain your reasoning.

Do not vary directly.

Step-by-step explanation:

A proportional relation between two variables x and y can be expressed as:

y = kx

where, k is the constant of proportionality.

The above equation can be rewritten as:

This equation should hold true for all the values of x and y that are applicable in the given scenario. This means, if x and y vary directly, the ratio of y to x must be a constant for all the values of y and x.

From the given graph, we can see the following points:

(0.3, 200) , (0.9, 400), (1.5, 600)

For the first point (0.3, 200):

For the second point (0.9, 400):

For the third point (1.5, 600):

From here we can see that the ratio of y to x is not a constant. This means, the two quantities shown in the graph do not vary directly. There is only a linear relationship between the lines, not a proportional relationship

because 1.2 isnt half of 6 duh

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions