Answer:
p = -0.05x+22
Step-by-step explanation:
The general linear equation of price-demand is
(1) <em>p = mx + b
</em>
<em>
</em>
where x is the demand of cards in units when they are sold at x dollars.
If for every additional card they wish to sell they need to drop the price by $0.05, then
(2) p-0.05 = m(x+1)+b
To sell 360 cards they need to set the price at $4, so
(3) 4 = m.360+b
We need to find m and b.
Operating on eq. (2) we have
p-0.05 = mx+m+b
mx+b-0.05 = mx+m+b
m = -0.05
Replacing this value in (3)
4 = (-0.05)360 +b
4 = -18+b
b = 22
So, the linear equation relating price p to demand x is
p = -0.05x+22
See graph attached.
This is the slope formula.
Answer: 26/3 or 8 2/3
Step-by-step explanation:
In the addition or subtraction of fraction, first, you have to convert all of them into improper fraction if they are mixed; then, you need to find the LCD (Least Common Denominator).
<u>Converting fraction:</u>
5 3/4=23/4
2 11/12=35/12
<u>Finding LCD:</u>
4 and 12 is 12
<u>Converting fraction into common denominator:</u>
23/4=69/12
35/12=35/12
<u>Solve:</u>
5 3/4 + 2 11/12
=69/12 + 35/12
=104/12
<h2>=26/3</h2>