Answer:
The constant of variation for the given quadratic equation is, 30
Step-by-step explanation:
One of the form of a quadratic equation is written as:
....[1]
where k is the coefficient and for this case the constant of variation.
In order to obtain the answer for the given equation, we write the given equation to the form above.
or
or
Comparing this equation with equation [1], to get the value of k;
k=30.
therefore, the constant of variation is, 30.
Answer:
The cost of a piece of dark meat is <u>$0.70</u> and the cost of a piece of white meat is <u>$0.85</u>.
Step-by-step explanation:
Given:
At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05.
A bucket of 3 pieces of dark meat and 8 pieces of white meat costs 8.90.
Now, to find the cost of a piece of dark meat and the cost of a piece of white meat.
Let the cost of a piece of dark meat be
And the cost of a piece of white meat be
A bucket of 4 pieces of dark meat and 5 pieces of white meat costs $7.05.
So,
.......(1)
Now, a bucket of 3 pieces of dark meat and 8 pieces of white meat costs $8.90.
Substituting the value of from equation (1) we get:
<em>Multiplying both sides by 4 we get:</em>
<em>Subtracting both sides by 21.15 we get:</em>
<em>Dividing both sides by 17 we get:</em>
<u>The cost of a piece of white meat = $0.85.</u>
Now, substituting the value of in equation (1) we get:
<u>The cost of a piece of dark meat = $0.70.</u>
Therefore, the cost of a piece of dark meat is <u>$0.70</u> and the cost of a piece of white meat is <u>$0.85</u>.