This graph shows a proportional relationship.
1 answer:
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have the point (1/4,3/8)
The constant of proportionality k is equal to
substitute the value of y and the value of x of the given ordered pair
Multiply in cross
Simplify
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Find the value of 
Rewrite as
since sin(π/3) = √3/2
and sin(π-α) = -sinα
α is sin(π/3) of course
Rewrite as
since sin(π/3) = √3/2
and sin(π-α) = -sinα
α is sin(π/3) of course
Let 
be the number of hours that the waitress works in the evening.
We know for our problem that she works
in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span>
<span>Since </span>
, we can rewrite our expression:
We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction:
hours.
We know for our problem that she works
</span>
<span>Since </span>
We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction: