Question

Belle deposited money into a savings account. This table gives the value of her account for the first 14 months after the initial deposit. The data can be modeled using an exponential function. \

Years 2 4 6 8 10 12 14
Account value $106 $113 $119 $126 $135 $143 $152

Based on the data, which amount is closest to the value of the account 24 months after the initial deposit?

$180
$200
$240
$280

Answer 1

280

step by step:

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| years | account value |

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| 2 | 106 |

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| 4 | 113 |

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| 6 | 119 |

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| 8 | 126 |

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| 10 | 135 |

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| 12 | 143 |

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| 14 | 152 |

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( haha i had some fun making this table above ^ )

using the table above, we know that

10 + 14

= 24

which means we also have to add up the account value for both of these months

135 + 152

= 285

since the question was asking us which number was the closest then we know that the answer must be 280

if you wanted you could even double check that answer by doing '12 + 12'

12 + 12 = 24

143 + 143 = 186

again since it is the closest to the number 280 then 280 is once again your answer

hope this helps you! :)