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