Sheet # 81 Critical Thinking

Name: _____________________ Date_____________

Gretchen has two choices of swimming clubs. One has a sign-up cost of $160 and fees of $39 per month. The second club has a sign-up cost of $250 and fees of $32 per month. After how many payments will the second swimming club become cheaper than the first club?

Answer for sheet # 81

There are many ways you can solve this problems. You can make a table, draw graphs or solve equation.

Month | First Club | Second Club | |

1 | $160 + 39 = 199 | $250 + $32 = $282 | |

2 | $189 + 39 = 238 | $282 + $32 = 314 | |

3 | $277 | $346 | |

4 | $316 | $378 | |

5 | $355 | $410 | |

6 | $394 | $442 | |

7 | 433 | 474 | |

8 | 472 | 506 | |

9 | 511 | 538 | |

10 | 550 | 570 | |

11 | 589 | 602 | |

12 | 628 | 634 | |

13 | 667 | 666 | |

In the 13th month, the second swimming club will become cheaper than the first swimming club.