# Algebra

1. Determine if the relationship is a linear function. Then represent the relationship using words and a graph.

Miles Traveled, x: 0 | Gallons of Gas, y: 11.2
Miles Traveled, x: 17 | Gallons of Gas, y: 10.2
Miles Traveled, x: 34 | Gallons of Gas, y: 9.2
Miles Traveled, x: 51 | Gallons of Gas, y: 8.2

2. A taxi company charges passengers $2.00 for a ride, and an additional$0.50 for each mile traveled. The function rule 𝑐 = 0.50𝑚 + 2.00 describes the relationship between the number of miles m and the total cost of the ride C. If the taxi company will only go a maximum of 40 miles, what is a reasonable graph of the function rule?

3. Evaluate the function for x = 2 and x = 7, when f(x) = -4x + 61

4. Tell whether the sequence is arithmetic. If it is, identify the common difference. ( 1/2, 1/3, 1/6, 0 … )

5. Tell whether the sequence is arithmetic. If it is, identify the common difference. (-3, -7, -10, -14 …)

6. You have a cafeteria card worth $50. After you buy lunch on Monday its value is$46.75. After you buy lunch on Tuesday, its value is \$43.50. Write a rule to represent the amount on money left on the card as an arithmetic sequence. What is the value of the card after you buy 12 lunches?

7. What is the seventh term of an arithmetic sequence represented by the rule A(n) = -9 + (n-1)(.5)?

8. New grass seeds grow rapidly. A grass seed has grown to 0.3 millimeters tall. Tomorrow it will be 0.9 millimeters tall, the next day it will be 1.5 millimeters tall, and on the next day it will be 2.1 millimeters tall. Write a rule to represent the height of the bean plant as an arithmetic sequence. How tall will the plant be in 15 days?

1. 👍 0
2. 👎 0
3. 👁 53
1. #1. Note that as x grows by 17, y decreases by 1
Thus ∆y/∆x is constant, meaning the relationship is linear
y = 11.2 - 1/17 x

#2. graph it. It's just straight line
#3. just plug in the two values for x
#4,5. it's arithmetic if the difference between terms is constant
#6. Note that the amount changes by -3.25 each day (see #1)
#7.Just plug in n=7
#8. see #1,6

1. 👍 0
2. 👎 1

## Similar Questions

1. ### Statistics Algebra 2

A 10-question multiple choice test has 4 possible answers for each question. A student guesses on all ten answer. a)What is the probability that the student selects at least 6 correct answers? b)Is getting exactly 10 questions

asked by Dloc on May 8, 2016
2. ### Math

I am doing a practice test and I am stuck on a couple of questions. 1.) Write a rule for the following sequence 8, -1, -10, -19 2.) Find the next three terms of the sequence -2, -12, -72, -432 3.) Which explains why the sequence

asked by KAYLA on April 17, 2016
3. ### Help Me On Math Please, If Anyone Is Available

A multiple choice test has 5 questions each with 5 possible answers. Find the probability of answering all the questions correctly. A. 1/3,125 B. 1/25 C. 1/625 D. 1/125 I'm on a test, and this is the only one I'm stuck on.

asked by Tori on February 23, 2016
4. ### Physics0

how to estimate the root mean square speed of hydrogen molecules in the earth's atmosphere in km h^-1? thanks for your help, I'm actually teaching myself physics and that why sometimes I get stuck even with simple questions

5. ### Algebra

I can't recall how to simplify square roots and am stuck on the following problem: (-3a)x = √7x+3 x = -1/4 I am trying to solve for a (since this is part of a group of questions that feed of previous answers, I'm absolutely at a

asked by Jen on September 26, 2017
1. ### new tech

Analyze the chemical reactions that take place when a biological catalyst combines with a reactant (Subtracts) to form an unstable intermediate. I know this has been answered but can not find....was able to get the first part of

asked by sarah on May 24, 2011
2. ### Calculus

Answer the following questions for the function f(x) = sin^2(x/3) defined on the interval [ -9.424778, 2.356194]. Rememer that you can enter pi for \pi as part of your answer. a.) f(x) is concave down on the interval . I'm really

asked by Anonymous on November 2, 2011
3. ### NVQ level 3 buisness admin

ok im really struggling on the questions on unit 314 hy the hell is there no question marks i have to anwser them like questions,its confusing me?? please can anyone shed a light over my way please.x cheers ema We don't have

asked by emma on June 12, 2006
4. ### AP World History

I really need some help with 2 questions. These questions are based out of Chapter 1 in Traditions and Encounters but it is in really any textbook. At least 5 sentences long. 1. Give two examples of the human response to climate

asked by nygmen90 on September 15, 2011
5. ### Materials Management

Going on job interview for admin assist. Would like some help on what kind of questions one would asked besides the basic. I'm stuck. I want to know what they do, what they handle , etc. can some help with some questions?