Catherine is at the Supermarket, and knows that she is 50 yards from her school. The map on her phone shows that the school is \large \frac{3}{4} inch from her current location.

If Catherine's current location is 3 inches from home on the same map, how far is Catherine from her home?

a
112.5 yards

b
200 yards

c
250.5 yards

d
150 yards