Write the phrase as an expression.Then evaluate when x=5 and y=20. The Quotient of 40 and the difference of a number y and 16.
Quotient is the answer in division. Difference is the answer in subtraction.
40
----------
( y - 16)
40 40
--------------- = ------------ = 10
(20 - 16) 4
For this case we have the following expression:
The Quotient of 40 and the difference of a number y and 16.
Writing the expression in algebraic form we have:
\(\frac{40}{y-16}\)
We observe that the expression does not depend on the variable x.
Therefore, substituting the value of y = 20 we have:
\(\frac{40}{y-16} = \frac{40}{20-16} = \frac{40}{4} = 10\)
Rewriting:
\(\frac{40}{y-16} = 10\)
Answer:
the phrase as an expression is:
\(\frac{40}{y-16}\)
For y = 20 the result is 10