Answer:
see the attachment
7 hours
Step-by-step explanation:
The cost for River Y is a constant (not dependent upon hours), so is c = 41.
The cost for River Z is the sum of the deposit and the hourly cost, so is ...
c = 13+4n
These equations and their graphs are shown in the attachment. The graphs cross where n=7, indicating you have to rent a canoe for 7 hours for the cost to be the same on both rivers.
Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..
Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So
Problem:
Dirextly to X (× by X)
Inversely to Y, (÷ by Y)
Z= k X/Y
Solve, working backwards: Z =5 becomes
5 = k (X) ÷ (Y). And
X=15 and Y =9 becomes
5= k(15)/(9). Undo ÷9, ×9 both sides
45= k(15). Now undo ×15 by ÷15 both sides
45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...
Z = 3X/Y
Use the new #s.... X=23, Y=14
Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals
y=mx+b is the standard function for any straight line
y and x are constants, so they never change in the final form
m is the slope, which is given
b is the y intercept, which is not given
we have to plug in the values to find the solution, so plug in the (x,y) coordinates for their respective places in the equation
-8 = (-3/5)(-3) + b
-8 = 1.8 + b
-9.8 = b
now that we have b, we can just put the slope back in for m and get the answer
y= -3/5x -9.8
Answer:
It represents the price that ray is actually paying. Instead of paying for 100% of the price, he is now only paying for 90%
Step-by-step explanation:
