Answer:
Explanation:
The statement is expressed as
y
∝
1
x
inverse means
1
variable
To convert to an equation introduce k, the constant of variation.
y
=
k
×
1
x
⇒
y
=
k
x
To find k use the given condition that y = 8 when x = 4
8
=
k
4
⇒
k
=
4
×
8
=
32
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
32
x
2
2
∣
∣
∣
−−−−−−−−−−−−
x
=
16
→
y
=
32
16
⇒
y
=
2
when
x
=
16
Answer:
y = -9x + 12
Step-by-step explanation:
first find the slope
m= <u>3 - 12</u>
1 - 0
m = -9
y = mx + b
y = -9x + 12
(the 12 is the y intercept and is given in the question so there is no need to solve for it)
Plug y= -3x in 2x-3y= 22, we have:
2x -3(-3x)= 22
⇒ 2x+ 9x= 22
⇒ 11x= 22
⇒ x= 22/11
⇒ x= 2
y= -3x= -3*2= -6
Final answer: x=2, y=-6~
Yes, It would be reasonable since thats about the weight of a skateboard.
However, the average skateboard is closer to 6 pounds. So, the skateboard in the question is very possible- but it would be really low quality.
However- given that you are in middle school- I would say yes, it is reasonable.
