A boxing club charges Nonmembers 4$ per day to work out and $10 per day for equipment rental members pay a yearly fee of 400 and the daily fee of 5$ for equipment rental right and solve an equation to determine how many times she should use the gym to justify membership

Answer:In order to justify membership she would have to use the gym for 45 daysStep-by-step explanation:Express the total amount for a given number of days to use the gym for nonmembers;T=WD+EDwhere;T=total amount for nonmembersW=workout charges per dayD=number of daysE=equipment charges per dayIn our case;T=unknownW=$4D=unknown=dE=$10replacing;T=(4×d)+(10×d)T=4 d+10 dT=14 d...equationExpress the total amount for a given number of days to use the gym for members;T=S+EDwhere;T=total amount for membersS=yearly standing feeD=number of daysE=equipment charges per dayIn our case;T=unknownS=$400E=$5D=unknown=dreplacing;T=400+(5×d)T=400+5 d.....equation 2To justify membership, equate equation 1 to equation 214 d=400+5 d14 d-5 d=4009 d=400d=400/9d=44.44=45In order to justify membership she would have to use the gym for 45 days