What is the constant of proportionality in the equation y = 2 x?
1 answer:
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We analyze the linear function to find that it has equation 
. Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.
We can prove this by substituting into the given equation:
Hence,
or 
, so there are both positive and negative values for 
.
We can prove this by substituting
Hence,
For this case we have the following variables:
t: time in seconds.
f (t): height as a function of time.
By the time Grace reaches the pool, the height is equal to zero.
We have the following table:
Time (t) (in seconds) Height f(t) (in meters)
1 25
2 20
3 15
4 0
We observe that the height is equal to zero after 4 seconds.
Equivalently:
Answer:
the following represents the x-intercept of f(t):
Grace reaches the swimming pool after 4 seconds