Question

Complete the equation below: c. EE Use d as your variable.

Answer 1

d and C seems to have a linear relationship.

We can test it by calculating the slope at different points:

`m=(\Delta C)/(\Delta d)=(9.42-6.28)/(3-2)=(3.14)/(1)=3.14`

If we calculate the slope on other 2 points, we get:

`m=(\Delta C)/(\Delta d)=(31.4-15.7)/(10-5)=(15.7)/(5)=3.14`

We have a constant slope, of value m=3.14.

We can test if this is also a proportional relationship by calculating C/d and veryfing it is a constant for all points:

`(6.28)/(2)=(9.42)/(3)=(15.7)/(5)=(31.4)/(10)=3.14`

The quotient C/d is constant, so there is a proportional relationship.

We can write:

`(C)/(d)=3.14`

and convert that into:

`C=3.14\cdot d`

Answer: C=3.14*d