1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
m_a_m_a [10]
2 years ago
12

The bus fare in a city is $1.75. People who use the bus had the option of purchasing a monthly coupon book for $21 . With the co

upon book the fair is reduced to .75 determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
Mathematics
1 answer:
Phantasy [73]2 years ago
4 0

Answer:

The bus must be used 21 times a month so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

Step-by-step explanation:

This problem can be modeled by two first order functions. One function is the monthly cost without the coupon book, and the other function is the monthly cost with the coupon book.

Monthly cost without the coupon book:

The only thing that the person will spend is the bus fare, that is $1.75. So the cost is:

C_{1}(n) = 1.75n

where n is the number of times that the person rode the bus.

Monthly cost with the coupon book:

The person will spend $21 for the book plus the bus fare, that will be $.75. So the cost is:

C_{2}(n) = 21 + .75n

The total monthly cost without the coupon book is the same as the total monthly cost with the coupon book when C1 = C2. So:

C_{1}(n) = C_{2}(n)

1.75n = 21 + .75n

1.75n - .75n = 21

n = 21

The bus must be used 21 times a month so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

You might be interested in
What is the answer 14 - (4 + 3) - 2 =
Virty [35]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
What's is the slope of this line?<br>Need this ASAP​
Basile [38]

Answer:

\displaystyle m=2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Reading a Cartesian Plane

  • Coordinates (x, y)

Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (0, 3)

Point (1, 5)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{5-3}{1-0}
  2. [Slope] Subtract:                                                                                              \displaystyle m=\frac{2}{1}
  3. [Slope] Divide:                                                                                                  \displaystyle m=2
5 0
3 years ago
What is the distance from point (-5,-4) to (9,2)?
Natasha2012 [34]

Answer:

radical 232

Step-by-step explanation:

14^2+6^2=x^2

196+36= 232

radical 232

8 0
2 years ago
Read 2 more answers
What is the missing reason in the proof?
IrinaVladis [17]

We can identify that the missing reason in the proof is: Definition of Congruent angles.

<h3>How to give proof of a congruent triangle?</h3>

We know that an angle measure of 90° of ∠ABC in the triangle means that it is a right angle triangle.

We also see that ∠ADB is also a right angle and is equal to 90°.

Now, since they have exactly the same measure, these angles are congruent. Then we can say that the angles are congruent and as such:

∠ABC ≅ ∠ABD

Thus, we can identify that the missing reason is: Definition of Congruent angles.

Read more about Triangle proof at; brainly.com/question/1248322

#SPJ1

3 0
1 year ago
How do you solve a table of equivalent ratios
Anit [1.1K]
You have t9 find a equal number
8 0
2 years ago
Other questions:
  • The line y = x is transformed to create the line y = − 1 2 x − 1 . Which of the following may be used to describe the transforma
    14·2 answers
  • h/4=6/7 (this is written as a fracton) my answers are A.) h=7/24 B.)h=3/4 C.)h= 3 3/7 or D.)h+7/9
    5·2 answers
  • Can use the Pythagorean theorem to solve for b if c is 13 and a is 12
    7·1 answer
  • Weinstein, McDermott, and Roediger report that students who were givne questions to be answered while studying new material had
    12·1 answer
  • What is the probability that the selected adult is a smoker?
    15·1 answer
  • Someone pls help!
    11·1 answer
  • Dependent events can best be desrcribed as
    12·1 answer
  • 150 copies will cost $15.00. What is the Unit Rate?
    7·1 answer
  • State if the two triangles are congruent. If they are, state how you know.
    14·1 answer
  • Which expression is equivalent lo the following complex fraction?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!