Answer:
Klorina's rate in still water is 4.5 km/h
Current's rate is 0.5 km/h
Step-by-step explanation:
Let
x km/h = Klorina's rate in still water
y km/h = current's rate
<u>With the current (current helps):</u>
Distance = 10 km
Time = 2 hours
Rate = x + y km/h

<u>Against the current:</u>
Distance = 8 km
Time = 2 hours
Rate = x - y km/h

Divide both equations by 2:

Add these equations:

Subtract these two equations:

Answer:

Step-by-step explanation:
A direct variation equation has the following format:

Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:

Divide both sides by -2:

So, our direct variation equations is:

To find what x is when y equals -6, substitute in -6 for y:

Divide both sides by -6:

So, our answer is 1 :)
1. y = 7
2. 0
3. m = -1
4. k = -4
5. x = -6
6. There is no solution for these equations.
Please let me know if you want explanations/work shown!! Hope this helps :)