SOLUTION: 1) If w varies directly as z and w = 9 when z = -6, find w when z = 3. a) 0 b) -4.5 c) -2 d) 4.5 2) If y varies directly as x and y = 2 when x = 4, find x when y

Question 1096157: 1) If w varies directly as z and w = 9 when z = -6, find w when z = 3.
a) 0
b) -4.5
c) -2
d) 4.5
2) If y varies directly as x and y = 2 when x = 4, find x when y = 4.
a) 2
b) 4
c) 16
d) 8
3) If y varies inversely as x and y = 15 when x = 3, find y when x = 9.
a) 45
b) 3
c) 15
d) 5
4) If y varies inversely as x and y = 14 when x = 3, find x when y = 84.
a) 6
b) 2
c) 1/2
d) 28
5) When buying gasoline, you notice that 14 gallons of gasoline is approximately the same as 53 liters. Use this information to find a linear model that relates gallons to liters. Then use the model to find the number of liters in 25 gallons. Round your answer to the nearest tenth.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1) If w varies directly as z and w = 9 when z = -6, find w when z = 3.
w = k*z --- k is a constant.
9 = k*-6
k = -1.5
---
find w when z = 3
w = -1.5*z
w = -4.5
==============================================
2) If y varies directly as x and y = 2 when x = 4, find x when y = 4.
------------------
Same problem, different numbers.
===========================================
3) If y varies inversely as x and y = 15 when x = 3, find y when x = 9.
y = k/x
O/w, same as #1
========================================
4) If y varies inversely as x and y = 14 when x = 3, find x when y = 84.
y = k/x
O/w, same as #1
=========================================
5) When buying gasoline, you notice that 14 gallons of gasoline is approximately the same as 53 liters. Use this information to find a linear model that relates gallons to liters.
L = 53g/14
---
Then use the model to find the number of liters in 25 gallons. Round your answer to the nearest tenth.

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