At a local fitness center, members pay a $10 membership fee and $4 for each aerobics class. Nonmembers pay $6 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?

5 classes

Step-by-step explanation:

Local fitness center: $10+$4x

Nonmembers: $6x

$10+$4x=$6x

10-2x=0

-2x=-10

x=5

(another way)

10+4(1)=14

6(1)=6

10+4(2)=18

6(2)=12

10+4(3)=24

6(3)=18

10+4(4)=26

6(4)=24

10+4(5)=30

6(5)=30

many reason,

step-by-step explanation:

secant-secant formula:

(whole secant) x (external part) =           (whole secant) x (external part)

(8+y-2) *8=                                           (y+4+6) *6

(y+6)*8 = (y+10) *6

distribute

8y+48 = 6y +60

subtract 6y from each side

2y +48 = 60

subtract 48 from each side

2y = 12

divide by 2

y = 6

sv =     (y+4+6)

sv   = 6+4+6

sv = 16