answer.
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
MArishka
1 month ago
7

The price of a train ticket consists of an initial fee plus a constant fee per stop.

Mathematics
2 answers:
tester [12.3K]1 month ago
8 0

Answer:

The starting fee is $2.

Step-by-step explanation:

Provided:

Stops Price (dollars)

3 6.50

7 12.50

11 18.50

It is noted that the cost of a train ticket comprises an initial fee along with a fixed fee per stop.

Let's denote the initial cost as 'x'.

Let 'y' represent the constant fee.

This leads us to create the following equation;

Price (P) = x + (y\times \textrm{Number of Stops})

According to the table:

For 3 stops, the price equals 6.50

Thus, we can formulate this equation;

x+3y =6.50 \ \ \ \ equation \ 1

Referring back to the table for;

For 7 stops, the cost amounts to 12.50

This similarly creates another equation;

x+7y =12.50 \ \ \ \ equation \ 2

By subtracting the first equation from the second, we obtain;

(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5

Inserting the value of y into the first equation results in;

x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2

This confirms that the initial fee is $2.

babunello [11.8K]1 month ago
7 0

Response:

$2.00

Detailed breakdown:

You might be interested in
Susie heard a traffic report that 495 was jammed. She then decided to find an alternate route home. This is an example of ??? re
babunello [11817]
The answer is deductive reasoning. Deductive reasoning begins from a premise or general statement accepted as true and logically progresses to conclusions that are definitively valid. This method employs a top-down approach to link premises to conclusions.
7 0
13 days ago
Withdrawing $10 every week from an outstanding balance of $400
lawyer [12517]
-10w - 400 = o

w= weeks
o = remaining balance
8 0
1 month ago
Read 2 more answers
Which polynomial function could be represented by the graph below?
AnnZ [12381]
According to the graph, which depicts a parabola, we can determine that the function will be quadratic. First, we identify the zeros as x=2 and x=4. Next, we can form the function using a point to solve for 'a'. For instance, at x=3 and y=-3, we can find 'a.' Plugging back into the equation, we can perform necessary multiplications to reach the final function.
8 0
11 days ago
Read 2 more answers
Xander says that it is not possible to draw a quadrilateral that is not a parallelogram and not a trapezoid. Devin says it is po
Zina [12379]
To address this question effectively, it's essential to clarify the characteristics of the given geometric terms.

A quadrilateral is defined as a four-sided figure.

Parallelograms are a subset of quadrilaterals characterized by having two pairs of parallel sides, with congruent opposite sides and angles. Instances of parallelograms include squares, rectangles, and rhombuses.

Trapezoids are also categorized under quadrilaterals but are distinguished by having only one pair of parallel sides.

In our investigation, we seek to determine whether there exists a four-sided shape without parallel sides. The included image presents an example of a quadrilateral that does not qualify as either a parallelogram or a trapezoid. Therefore, in accordance with the definitions of these polygons, the correct choice is B.

6 0
11 days ago
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression ,
Leona [12618]
400 + 0.1s

signifies her total earnings, which consists of the base pay of 400 plus 10% of her sales.
6 0
7 days ago
Read 2 more answers
Other questions:
  • The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi
    11·1 answer
  • Isabella Is building a tree fort .The base of the fort is 78 inches wide by 92 inches long. What is the area of the base in squa
    9·1 answer
  • The amount of tax for each camera is $5.25 and the tax rate is 6%. Explain how the equation: (Original Cost)(Percent) = Tax Amou
    7·2 answers
  • A sample of 75 concrete blocks had a mean mass of 38.3 kg with a standard deviation of 0.6 kg.
    6·1 answer
  • Identify the horizontal asymptote of each graph.<br> t(x) = 67<br> y=0<br> y=1<br> y=6
    7·2 answers
  • PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22<br> Find : m∠QPR
    9·1 answer
  • A business has $25,000 to spend on training sessions for its employees. It wants 45 of its employees to attend. The business wan
    13·1 answer
  • Rema spent 6 days reading her book, completing the same fraction of the book each day, if she read a total of 8/9 of her book af
    11·2 answers
  • Hikers came across a part of a redwood stump. If the length of the chord is 8 feet, what was the diameter of the tree?
    7·1 answer
  • For quality control​ purposes, a company that manufactures sim chips for​ cell/smart phones routinely takes samples from its pro
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!