a) The inheritance pattern is dominant autosomal.
Autosomal means that the allele is found on an autosomal chromosome (otherwise the inheritance is sex-linked). Dominant means that the phenotype will be expressed whether the individual has one copy of the dominant allele (is heterozygous) or has two copies of the dominant allele (is homozygous). In this case, allele for the wire-hair is dominant while the allele for a smooth-hair is recessive.
b) Since there are more wire-haired puppies, we concluded that the allele for wire-hair is dominant over smooth-hair. If we name the alleles D-dominant and d-recessive than: the possible genotypes for the wire-haired puppies are DD and Dd, while the smooth-haired puppy has dd genotype.
c) Mating between 2 wire-haired terriers that are heterozygous (have both alleles) would be:
P (parents): Dd x Dd
F1 (offspring): DD Dd Dd dd
This means that the phenotype ratio is 3:1 (wire-hair: smooth-hair).
Genotype ratio is 1:2:1 (dominant homozygous : heterozygous : recessive homozygous).