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The rate of change if the health club charges a $35 one-time sign-up fee and a monthly membership fee of $39 per month is $39.

Rate of change

  • Sign up charge = $35
  • Monthly membership fee = $39
  • Number of months = x

Total charge = 35 + 39x

If x = 1 month

Total charge = 35 + 39x

= 35 + 39

= $74

If x = 2 months

Total charge = 35 + 39x

= 35 + 39(2)

= 35 + 78

= $113

Rate of change = $113 - $74

= $39

Therefore, the rate of change is $39

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