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Sequence and Rate of Change Practice

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Last updated 2 months ago
30 questions
1
Question 29
29.

Arithmetic Sequences model ______________ Functions.

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Question 30
30.

Geometric Sequences model ______________ Functions.

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Question 1
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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Use the following table for questions 19-22

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Use the following function for 23-26

f(x)= 5(3)x
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Use the following graph to answer 27-28

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Question 2
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?

Question 3
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?

Question 4
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)

Question 5
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?

Question 6
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?

Question 7
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?

Question 8
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?

Question 9
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?

Question 10
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?

Question 11
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

Question 12
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.

Question 13
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.

Question 14
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.

Question 15
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.

Question 16
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

Question 17
17.

Which situation could be modeled with an exponential function?

Question 18
18.

Which statement below is true about linear?

Question 19
19.

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

Question 20
20.

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

Question 21
21.

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

Question 22
22.

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

Question 23
23.

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

Question 24
24.

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

Question 25
25.

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

Question 26
26.

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

Question 27
27.

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

Question 28
28.

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