The first mile cost $1.5. The remaining distance is 5.6 - 1 = 4.6 miles. Each tenth of a mile costs $0.25, so the cost for the remaining distance is:
$$4.6 \ miles \times 10 \ tenths/miles \times \$0.25/tenth = \$11.50$$
Adding the cost of the first mile, the total taxi fare is $$1.5+11.5=13$$
Therefore, Caleb pays $13 for the taxi ride to work.