In a direct variation, the constant of proportionality is -3.
2 answers:
Answer:
The equation is .
Step-by-step explanation:
When we say that a variable varies directly as another variable, or is directly proportionate to another variable, we mean that the variable changes with the same ratio as the other variable increases.
This kind of correlation can be represented as a linear function that passes through the origin, the equation of which is of the form . The two variables we are considering are <em>x</em> and <em>y</em>, while <em>k</em> is called the constant of proportionality.
We know the constant of proportionality k = -3, applying the above definition we get that the equation is .
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(a) Calculate the vertical distance between the eagle and the seahorse.
Answer a: 11.38 meters is the vertical distance between them.
(b) Describe Adrian's position from the sea level.
Answer b: Adrian is 1.13m below the sea level.
Step-by-step explanation:
(a) Since sea level is the origin of coordinates. distances above sea level are positive and distances below sea level are negative. The distance between two points is the difference between them.
The vertical distance between the eagle and the seahorse is the difference between their positions:
Distance = 4.56m - (-6.82m) = 4.56m + 6.82m = 11.38 meters
Answer a) 11.38 meters is the vertical distance between them.
(b) Adrian's position is in the middle of the distance between the eagle and the seahorse:
Middle = 11.38m/2 = 5.69m
Since 5.69m is more than 4.56m above the sea level, then Adrian is below the sea level:
4.56m - 5.69m = -1.13m
Answer b: Adrian is 1.13m below the sea level.
<h2><em>Spymore</em></h2>