Since d is directly proportional to v, the missing value in the table is 1.3.
In Mathematics, a direct variation is also referred to as direct proportion and it can be modeled by using the following mathematical expression or function:
y = kx ≡ d = kv
Where:
- y and x are the variables.
- k represents the constant of proportionality.
Under direct variation, the constant of proportionality (variation) can be calculated as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 5/18
Therefore, the required equation for this function is a proportional relationship;
d = 5/18(v)
When v is 4.5, the value of d is given by;
d = 5/18(4.5)
d = 1.25 ≈ 1.3
Complete Question:
d is directly proportional to v. What is the missing value in the table below? Give any decimal answers to 1 d.p.