Answer: If a true-breeding orange, skinny carrot (ppff) is crossed to a true-breeding (meaning homozygous for all traits of interest) purple, fat carrot (PPFF), the resulting F1 offspring are purple & fat, but heterozygous (not true-breeding).
Explanation: Orange-Skinny carrot (ppff) will produce only one type of gamete (pf). Likewise, purple - fat carrot (PPFF) will produce only one type of gamete (PF).
When these gametes are crossed, only one type of offspring will be produced with genotype PpFf. This implies that all offsprings in the F1 generation will be Purple and Fat but heterozygous for the traits.
Check the attached image for illustrations.