(8.5H)Which situation represents 1 point
1 answer:
<h3>The cost of purchasing baby chicks at $4.50 per chick represents proportional relationship</h3>
<em><u>Solution:</u></em>
in a proportional relationship, one variable is always a constant value times the other.
y = kx
Where, k is a constant
<em><u>Option 1</u></em>
The cost of purchasing hay for $26 a bale with a delivery charge of $30
Cost = $ 26 a bale + 30
This does not forms a proportional relationship
<em><u>Option 2</u></em>
The cost of purchasing baby chicks at $4.50 per chick
Let "x" be the number of chicks
Therefore,
Thus, this forms a proportional relationship
<em><u>Option 3</u></em>
The cost of purchasing fencing at $29 a linear foot with an installation fee of $300
cost = $ 29 a linear foot + 300
This does not forms a proportional relationship
<em><u>Option 4</u></em>
The cost of renting a backhoe for $79 per hour with a non-refundable deposit of $300
cost = $ 79 per hour + 300
This does not forms a proportional relationship
You might be interested in
Answer:
3.8 = 38/10
Step-by-step explanation:
The given number = 3.8
We have to write 3.8 in fraction form a/b
Here we have 1 digit after the decimal. To get rid off the decimal number, we need to multiply both the numerator and the denominator by 10 since we have to 1 digit after the decimal.
= 38/10
Therefore, the answer is 3.8 = 38/10
Thank you.
9514 1404 393
Answer:
D.
Step-by-step explanation:
The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)
When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.
The only reasonable choice is D.
__
Your calculator can check this for you.
√12/(√3 +3) ≈ 3.4641/(1.7321 +3)
= 3.4641/4.7321 ≈ 0.7321 = -1 +√3
__
If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.
_____
<em>Additional comment</em>
We "rationalize the denominator" in this way to take advantage of the relation ...
(a -b)(a +b) = a² -b²
Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.
We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).