Aboxing 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

In order to justify membership she would have to use the gym for 45 days

Step-by-step explanation:

Express the total amount for a given number of days to use the gym for nonmembers;

T=WD+ED

where;

T=total amount for nonmembers

W=workout charges per day

D=number of days

E=equipment charges per day

In our case;

T=unknown

W=$4

D=unknown=d

E=$10

replacing;

T=(4×d)+(10×d)

T=4 d+10 d

T=14 d...equation

Express the total amount for a given number of days to use the gym for members;

T=S+ED

where;

T=total amount for members

S=yearly standing fee

D=number of days

E=equipment charges per day

In our case;

T=unknown

S=$400

E=$5

D=unknown=d

replacing;

T=400+(5×d)

T=400+5 dequation 2

To justify membership, equate equation 1 to equation 2

14 d=400+5 d

14 d-5 d=400

9 d=400

d=400/9

d=44.44=45

In order to justify membership she would have to use the gym for 45 days