Match the each term with its definition. 1) reaction coordinate a) the higher point on the energy curve 2) δg° b) the plot of the reaction progress as a function of time 3) δg‡ c) the free energy of the reaction

The correct answer is:
1) reaction coordinate will match with
B)the plot of the reaction progress as a function of time.

as the reaction coordinate is the progress of a reaction from the reactants to products with different transition states in between. The X-axis: which has the reaction progress reflects the progressive chemical changes and the formation of bond and the bond breakage as S (the energy associated with the reactant) is changing and converting to P ( the energy that associated with the product).Actually, it has no relation to time.Rather partially formation of bonds and breaking of bond reaction steps.

2)ΔG° will match with  
c) the free energy of the reaction.

As it is simply defined as the Gibbs free energy and is also known as a free enthalpy, it is used to calculate the maximum of reversible work performed by the thermodynamic system when the temperature and the pressure are constant.

3)ΔG will match with
A) the higher point of the energy curve.

when ΔG = ΔGproduct - ΔGreactant
and It is simply defined as the change in free energy. It reflects nothing about the speed of the reaction. ΔG+ indicates that the reaction is endergonic and energy goes from reactants to products.and ΔG- become negative when the reaction goes to a lower energy state and it indicates then that the reaction is exergonic.

Yes she is correct. the answer is completely correct

Most likely a is the answer - because  you generate   38 atp's but also consume an atp.   each atp gives approx. less than 4 kcal so probably a is the closest answer.