# Identify Constant Percentage Change (Grade 10)

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## Identify Constant Percentage Change

1.

George borrowed some money from a friend. Each month, he pays back 10% of the original amount. The amount George pays each month is decreasing at a constant percent.

- True
- False

2.

Liz sends a message to her three best friends, Sally, Tim, and Josh. Let this be group one. Each of these three people send the message to three more people. Let this be group two. If this trend continues, the number of messages being sent to each new group of people is increasing at a constant percent.

- True
- False

3.

A car accelerates uniformly on the highway, from 35 mph to 60 mph, in 30 seconds. The speed is increasing at a constant percent each second.

- True
- False

4.

Anne just started working at a new job. The following shows how many sales she has made on each of her first 6 days on the job. Her sales are increasing at a constant percent each day.

[math] \ \ \ \ \ \ \ \ \ \ \ mathbf{"Number of Days on the Job"} \ \ \ \ \ \ \ \ \ \ \ [/math] | [math] \ \ \ \ \ \ \ \ \ \ \mathbf{"Number of Sales"} \ \ \ \ \ \ \ \ \ \ [/math] |

[math] 1 [/math] | [math] 1 [/math] |

[math] 2 [/math] | [math] 2 [/math] |

[math] 3 [/math] | [math] 4 [/math] |

[math] 4 [/math] | [math] 7 [/math] |

[math] 5 [/math] | [math] 10 [/math] |

[math] 6 [/math] | [math] 14 [/math] |

- True
- False

5.

An environmentalist group is concerned about the fish population in a lake. Each month, they count the number of fish and have recorded the following numbers over the past several months: 400, 380, 360, 340, 320. The number of fish is declining at a constant percent each month.

- True
- False

6.

A meteorite has just entered Earth's atmosphere. A second later, it breaks into two pieces. A second later, each of these two pieces breaks into two pieces. If every second, each piece breaks into two new pieces, then the number of meteor pieces is growing at a constant percent per second.

- True
- False

7.

The signal power of a radio station is inversely proportional to the square of the distance it is away from its source. The power of the signal can therefore be said to decrease at a constant percent each mile one travels away from the the source of the radio transmission.

- True
- False

8.

A 100 g sample of Iodine-131 is left in a secure room. After 1 day, there is 91.7 g of Iodine-131 left. After another day, there is only 84.1 g left. According to these numbers, the amount of Iodine-131 is decreasing approximately at a constant percent per day.

- True
- False

9.

Atmospheric pressure decreases as you go higher. If the following measurements were made of atmospheric pressure at certain elevations, the decrease in atmospheric pressure is approximately a constant percent per 100 m increase in elevation.

[math] \ \ \ \ \ \ \ \ \ \ \ mathbf{"Elevation (m)"} \ \ \ \ \ \ \ \ \ \ \ [/math] | [math] \ \ \ \ \ \ \ \ \ \ \mathbf{"Atmospheric Pressure (kPa) "} \ \ \ \ \ \ \ \ \ \ [/math] |

[math] 0 [/math] | [math] 101.3 [/math] |

[math] 100 [/math] | [math] 100 [/math] |

[math] 200 [/math] | [math] 98.7 [/math] |

[math] 300 [/math] | [math] 97.5 [/math] |

- True
- False

10.

Marvin keeps checking his cup of coffee with a thermometer. At first, he measures the temperature to be 200 °F. 30 minutes later, it is 172 °F. And 30 minutes later, it is 148 °F. If this trend continues, his coffee's temperature is decreasing at a constant percent per minute.

- True
- False

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