1. What happens to T when h is double in the equation. t = 4h?
2. What happens to y when x is tripled in the relation Y=k/x?
1. What happens to T when h is double in the equation. t = 4h?
T will double.
1 4 8 16 32
2 2 2 2 2
2, 8, 16, 32, 64
t= 4h
t= 4 (2 x 1)
t= 8
t= 4h
t= 4 (2 x 2)
t= 4 (4)
t= 16
t= 4h
t= 4 (2 x 4)
t= 4 (8)
t= 32
t= 4h
t= 4 (2 x 8)
t= 4 (16)
t= 64
2. What happens to y when x is tripled in the relation Y=k/x?
Y=k/x
Y=k/x (3)
Y= (⅓) (k/x)
If you triple the x you get (1/3) the y. It is because y and x are inversely proportional. As one gets larger, the other gets smaller.
Y=k/x
Y=k/x (3)
Y= (⅓) (k/x)
Example:
k= 300
x= 1
Y=k/x
Y=k/x (3)
Y= 300/1(3)
Y= 300/ 3
Y= 100
k= 300
x= 2
Y=k/x
Y=k/x (3)
Y= 300/ 2(3)
Y= 300/ 6
Y= 50
k= 300
x= 4
Y=k/x
Y=k/x (3)
Y= 300/ 4(3)
Y= 300/ 12
Y= 25