Answer:
[tex]Q=\frac{40}{y-16}[/tex]
[tex]Q=10[/tex]
Step-by-step explanation:
Let the quotient be represented by 'Q'.
Given:
The difference of a number 'y' and 16 is [tex]y-16[/tex]
Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is [tex]y-16[/tex]. So, we divide both these terms to get an expression for 'Q'.
The quotient of 40 and [tex]y-16[/tex] is given as:
[tex]Q=\frac{40}{y-16}[/tex]
Now, we need to find the quotient when [tex]y=20[/tex]. Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,
[tex]Q=\frac{40}{20-16}\\Q=\frac{40}{4}=10[/tex]
Therefore, the quotient is 10, when the value of 'y' is 20.
