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Laabri

Sequence and Rate of Change Practice

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Last updated 7 months ago
30 Nsɛmmisa

Use the following graph to answer 27-28

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1.

In the NCAA men's basketball tournament, 64 teams compete in round 1. Fewer teams remain in each following round as shown in the graph

What type of Sequence is this? (arithmetic or geometric)

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3.

In the NCAA men's basketball tournament, 64 teams compete in round 1. Fewer teams remain in each following round as shown in the graph How many teams compete in Round 6?

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9.

Seats in a concert hall are arranged in the pattern shown in the image to the left.

How many seats are in the 15th row?

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Use the following table for questions 19-22

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19.

Find the average rate of change over the interval [1,3]

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Use the following function for 23-26

f(x)= 5(3)x

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23.

Find the rate of change over the interval [0,2]

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27.

Find the average rate of change for the interval [0,1]

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28.

Find the average rate of change for the interval [-1,2]

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29.

Arithmetic Sequences model ______________ Functions.

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30.

Geometric Sequences model ______________ Functions.

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2.

In the NCAA men's basketball tournament, 64 teams compete in round 1. Fewer teams remain in each following round as shown in the graph

Which explicit formula is correct?

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4.

The odometer on a car reads 60,473 on Day I. Every day, the car is driven 54 miles.

What type of Sequence is this? (arithmetic or geometric)

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5.

The odometer on a car reads 60,473 on Day I Every day, the car is driven 54 miles.

Which explicit form is correct?

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6.

The odometer on a car reads 60,473 on Day I Every day, the car is driven 54 miles. If this pattern continues, what is the odometer reading on Day 20?

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7.

To package and ship an item it costs $5.75 for the first pound and $0.75 for each additional pound.

What is the cost of shipping a 12 pound package?

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8.

The table -at the bottom of the image- shows a car's value for 3 years, after it is purchased. The values form a geometric sequence. How much will the car be worth in the l0th year?

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10.

Seats in a concert hall are arranged in the pattern shown in the image to the left.

A ticket costs $40. Suppose every seat in the first 10 rows is filled What is the total revenue from those seats?

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11.

Given the situations below, identify if it is a linear or exponential model or neither.

A savings account that starts with $5000 and receives a deposit of $825 per month

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12.

Given the situations below, identify if it is a linear or exponential model or neither.

The value of a house that starts at $150,000 and increases by 1.5% per year.

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13.

Given the situations below, identify if it is a linear or exponential model or neither.

Tina owns 4 rabbits. She expects them to double each year.

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14.

Given the situations below, identify if it is a linear or exponential model or neither.

The cost of operating Jelly's Doughnuts is $1600 per week plus $.10 to make each doughnut.

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15.

Given the situations below, identify if it is a linear or exponential model or neither.

The value of Chris' car that depreciates 20% per year.

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16.

Given the situations below, identify if it is a linear or exponential model or neither.

The height of a ball that is thrown in the air

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17.

Which situation could be modeled with an exponential function?

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18.

Which statement below is true about linear?

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20.

Find the average rate of change over the interval [2,6]

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21.

Find the average rate of change over the interval [2,3.7]

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22.

Find the average rate of change over the interval [3.5,6]

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24.

Find the rate of change over the interval [0,1]

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25.

Find the rate of change over the interval [1,2]

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26.

Find the rate of change over the interval [0,5]