<u>Question 1 solution:</u>
You have two unknowns here:
Let the Water current speed = W
Let Rita's average speed = R
We are given <em>two </em>situations, where we can form <em>two equations</em>, and therefore solve for the <em>two unknowns, W, R</em>:
Part 1) W→ , R←(against current, upstream)
If Rita is paddling at 2mi/hr against the current, this means that the current is trying to slow her down. If you look at the direction of the water, it is "opposing" Rita, it is "opposite", therefore, our equation must have a negative sign for water<span>:
</span>R–W=2 - equation 1
Part 2) W→ , R<span>→</span>(with current)
Therefore, R+W=3 - equation 2
From equation 1, W=R-2,
Substitute into equation 2.
R+(R–2)=3
2R=5
R=5/2mi/hr
So when W=0 (still), R=5/2mi/hr
Finding the water speed using the same rearranging and substituting process:
1... R=2+W
2... (2+W)+W=3
2W=1
W=1/2mi/hr
8 times 3 = 24 +4= 28
4+3=7 times 8 =56
Answer:
Step-by-step explanation:
(1). One solution
(2). Infinitely Many Solutions
(3). One solution
(4). No Solution
Answer:
Demand is inelastic at p = 9 and therefore revenue will increase with
an increase in price.
Step-by-step explanation:
Given a demand function that gives <em>q</em> in terms of <em>p</em>, the elasticity of demand is
- If E < 1, we say demand is inelastic. In this case, raising prices increases revenue.
- If E > 1, we say demand is elastic. In this case, raising prices decreases revenue.
- If E = 1, we say demand is unitary.
We have the following demand equation ; p = 9
Applying the above definition of elasticity of demand we get:
where
- p = 9
- q =
Substituting the values
Demand is inelastic at p = 9 and therefore revenue will increase with an increase in price.