A dolphin was swimming 20 feet below the surface of the water. It descended 8 feet to catch a fish. What integer represents its
1 answer:
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Answer:
Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp
we have
substitute and solve for x
Answer:
A quadratic function.
Step-by-step explanation:
If you plot the points given in the table, you obtain the graph shown in the figure attached.
As you can see, it is a parabola, therefore, the function that best models the data is a quadratic function.
By definition, the parent function of a quadratic function is:
You can compress or stretch it in the y-direction by multiplying the function by a constant :
If , then the function is compressed.
If , then the function is stretched.
You can find the constant of the function asked as following:
- Substitute x=1 into the parent function to obtain the y-coordinate:
Then the point is (1,1)
- As you can see, with x=1 you obtain y=1 in the parent function, and in the function given in the table when x=1, y=2.5, therefore, the function is multiplied by 2.5. Therefore the constant is:
Then the function is:
