Linear and Quadratic Systems and Direct and inverse Variation
Is their a relationship between the the x and y values? x: 4 6 10 y: 15 10 6
Inverse Variation
Inverse Variation
K=xy
Is their a relationship between the the x and y values? x: 8 11 14 17 y: 1 10 18 31
No relationship between
how would you describe the following relationship as an equation: "Time varies inversely with Speed"
T=k/S
how would you describe the following relationship as an equation: "Time varies Directly with Speed"
T=kS
7
This system has one solution. y = x^2 - 3x + 7 y = 3x - 2 What is the y-coordinate of the solution?
C
What are the solutions to the system of equations? y = x^2 + 5x + 6 y = 3x + 6
Direct Variation
k=y/x
Inverse Variation
y=k/x
Direct varaiation
y=kx
if a' varies inversely with b' when a=3 and b=5 find b=? when a=1
15
if t' varies inversely with f' when t=2.5 and f=4 find t=? when f=2
5
7
Alan repairs televisions. His revenue is modeled by the function R(h)=10+30h for every h hours he spends repairing televisions. His overhead cost is modeled by the function C(h)=5h2−25 dollars. After how many hours does he break even?
Is their a relationship between the the x and y values? x: 2 5 8 y: 1 2.5 4
Direct Variation
2
How many solutions does the system have? y = -2x + 1 y = -2x^2 + 1