Rayna paid a $200 fee to join a health club and then a $50 fee per month to use the club. The total amount of money (t) paid can be represented by the equation t = 200 + 50 m , where m represents the number of months of club use. Nora paid a $100 fee to join another health club and then a $75 fee per month to use the club, which can be represented by the equation t = 100 + 75 m . The graph below shows the fees paid by Rayna and Nora. In what month will both girls have paid an equal amount of money to their health clubs?

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Answer:

the fourth month

Step-by-step explanation:

200 + 50m = 100 + 75m

subtract 100 on both sides

100 + 50m = 75m

subtract 50m on both sides

100 = 25m

divide by 25 on both sides

m = 4