Aparticular reaction, a → products, has a rate that slows down as the reaction proceeds. the half-life of the reaction is found to depend on the initial concentration of
a. determine whether each statement is likely to be true or false for this reaction.

Generally, the rate of a reaction will decrease with increasing temperature, although there are some exceptions in the case of non-elementary reactions. However it is more likely that the first statement is false.
Half-life is a measure of the time taken for a to reach 1/2 of its initial concentration, and is generally completely independent of reagent concentration within a first order reaction, which is likely what this reaction is, therefore statement 2 is also likely false.
Hope this helps!