Answer:
a) I=9,5
b) x=43
c) I is same for every value of y and x if the relationship is proportional.
Step-by-step explanation:
The constant of proportionality I can be found as: [tex]\mathbf{I=\frac{y}{x}}[/tex]
a)
We are given: x= 29, y=275.5 we need to find constant of proportionality I
Using formula:
[tex]\mathbf{I=\frac{y}{x}}\\I=\frac{275.5}{29}\\I=9.5[/tex]
So, constant of proportionality I = 9.5
b)
Now, we need to find x when y is 408.5.
Using the above formula we can find x
[tex]I=\frac{y}{x}\\9.5=\frac{408.5}{x}\\x=\frac{408.5}{9.5}\\x=43[/tex]
c)
A relationship is proportional if for every value of x and y we have a relation: [tex]\mathbf{I=\frac{y}{x} }[/tex] where I is constant. The value of I is same for every value of y and x.
If a relationship is not proportional then for every value of x and y we have don't have a relation: [tex]\mathbf{I=\frac{y}{x} }[/tex] where I is constant. The value of I is different for every value of y and x.
