Answer: Option D
The inequality that represents the situation is:
![(3)/(5)(x-5)\leq 27](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sxtruw6lruqd8penrpmxo2wl5px88i3hpl.png)
following situation
Explanation:
Suppose an unknown number X.
That number minus 5 is:
![x-5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9emoqjsgd118oanpemcwmldx3q7yrbe7hu.png)
Now,
times the unknown number minus 5 is:
![(3)/(5)(x-5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/29vryw2ic3flygtall8aixd5mh2j350eu5.png)
We know that all this expression is not greater than 27.
Then we use the symbol "less or equal than" (
) to represent the situation
![(3)/(5)(x-5)\leq 27](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sxtruw6lruqd8penrpmxo2wl5px88i3hpl.png)