Answer:
The revenue for 105 units will be 5985 thousand dollars.
Step-by-step explanation:
Given:
The number of units is represented as 'u' and the revenue in thousands is represented as 'R'.
Let us find the ratio 'R' and 'u' and check the type of relationship.
[tex]\frac{171}{3}=57\\\frac{342}{6}=57\\\frac{855}{15}=57\\\frac{1254}{22}=57[/tex]
Therefore, the ratio is a constant. Hence, the relationship is a proportional relationship.
A proportional relationship is given as:
[tex]R=kn[/tex]
Where, 'k' is the constant of proportionality and is equal to the ratio of any two values of 'R' and 'n'.
Therefore, [tex]k=57[/tex]
So, the relationship is [tex]R=57n[/tex]
Now, we are asked to determine 'R' when [tex]n=105[/tex]. Plug in 105 for 'n' in the above relationship and find 'R'. This gives,
[tex]R=57\times 105\\R=5985\ thousands[/tex]
Therefore, the revenue for 105 units will be 5985 thousand dollars.
