Answer:
The required expression is:
![\mathbf{(5(x+y))/(-8x)}](https://img.qammunity.org/2022/formulas/mathematics/college/hu93xz3g7jpdrrf5e6pqjsyddcsbgqdabj.png)
Option C is correct option.
Explanation:
We need to find the equation that fits the description.
a) the expression is the quotient of two quantities
The quotient is expressed as
![(a)/(b)](https://img.qammunity.org/2022/formulas/mathematics/college/uecm12c7n4gx6g9psekm2mepsrzkwq4foc.png)
where a is numerator and b is denominator
b) The numerator of the expression is product of 5 and the sum of x and y
Sum of x and y = x+y
Product of 5 and Sum of x and y = 5(x+y)
So, Numerator of the expression is 5(x+y)
c) The denominator is the product of negative 8 and x
Product of negative 8 and x = -8x
So, denominator of the expression is -8x
Now, The required expression is:
![\mathbf{(5(x+y))/(-8x)}](https://img.qammunity.org/2022/formulas/mathematics/college/hu93xz3g7jpdrrf5e6pqjsyddcsbgqdabj.png)
Option C is correct option.