Plot the points on your graph paper to answer the question.
1 answer:
Answer:
The paired points are not in a proportional relationship
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 <u><em>the line passes through the origin</em></u>
we have the ordered pairs
(1,0),(2,1),(3,2),(5,4),(6,5)
Plot the points and connect them
see the attached figure
This line not passes through the origin
therefore
The paired points are not in a proportional relationship
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We need to find a, b and c. So, we know that a quadratic equation is given by:
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Then, we need to order the equation (1) and to adjust it to the equation (2), so:
So, if we compare these two equations, the conclusion is:
(3)
Substituiting a, b and c into (3):
Finally, the results are two values:
(1)
We need to find a, b and c. So, we know that a quadratic equation is given by:
(2)
Then, we need to order the equation (1) and to adjust it to the equation (2), so:
So, if we compare these two equations, the conclusion is:
(3)
Substituiting a, b and c into (3):
Finally, the results are two values: