Given:
Statement is "Half of a number minus seven is one and five-tenths."
To find:
The equation for the given statement.
Solution:
Let the unknown number be x.
Half of a number :

Half of a number minus seven :

One and five-tenths :

Half of a number minus seven is one and five-tenths:

The required equation for the given statement is
.
Therefore, the correct option is C.