Okay, I think I have arrived at all the answer to the questions thrown my way. However, how do I explain what is happening “graphically”, where the services are charging same rate?

: Your company must use a transportation service to shuttle their corporate partners from the airport for a quarterly meeting. Crespo Transportation Service charges \$32 initially plus \$8 per mile for every mile traveled. Siera Transportation Service charges \$24 initially plus \$10 per mile for every mile traveled.

Write an equation in two variables (x & y) that illustrates the costs for the Crespo Transportation Service.
y=32+8x

Write an equation in two variables (x & y) that illustrates the costs for the Siera Transportation Service.
y=24+10x

If the trip is 3 miles, how much does each one charge? If the trip is 6 miles, how much does each one charge? Explain
If the trip is 3 miles then Crespo transportation services would charge \$56

y=32+8x

y=32+8(3)

y=32+24

y=56

For Siera transportation service if the trip is 3 miles then the total charge would be \$54

y=24+10x

y=24+10(3)

y=24+30

y=54

If the trip is 6 miles then Crespo transportation would charge \$80.00

y=32+8(6)

y=32+48

y=80

If the trip was 6 miles then siera transportation would charge 84

y=24+10(6)

y=24+60

y=84

l) At what mileage are both services charging the same rate? Explain.
For the last part:

set the two y values equal

24 + 10x = 32 + 8x
2x = 8
x = 4

Explanation:
I will solve for x by subtracting
8x from each side and by
subtracting 24 from each side to arrive at the solution.

8x+32=10x+24

8x-8x+32=10x-8x+24

32=2x+24

32-24=2x+24-24

8=2x

x=4

Check if x = 4

Checking the first equation:
y = 32 + 8(4) = 64

Checking the second equation:
y = 24 + 10(4) = 64

Both solutions check.

Therefore, the mileage that both are charging the same rate is 4 miles.
How do I explain what is happening graphically where the services are charging the same rate? is this answer correct?

Graphically, where the services are charging the same rate, the graphs will intersect. A solution of a system of equations in two variables is an ordered pair that makes both equations true. All points will give a solution, but where the services are charging the same rate, the common points give the common solution. The systems are consistent and the equations are independent.

1. 👍 0
2. 👎 0
3. 👁 128

## Similar Questions

1. ### science

a ball is thrown straight upward and returns to the thrower's hand after 3.00s in the air. A second ball is thrown at an angle of 30.0 deg with the horizontal. At what speed must the second ball be thrown so that it reached the

asked by tani on September 8, 2009
2. ### Grade 12 Data Management

There are 12 questions on an examination, and each student must answer 8 questions including at least 4 of the first 5 questions. How many different combinations of questions could a student choose to answer?

asked by Rebecca on September 27, 2011
3. ### PreCalculus 1

I have graphed the equations onto my calculator but I don't know how to answer the questions. Can someone explain this to me? 2. Coco, the wonder cat, is watching a spider on a wall that is 18 feet wide and 12 feet tall. The

asked by Anonymous on July 7, 2016
4. ### Physics

What is the velocity at the midway point of a ball able to reach a height y when thrown with an initial velocity v0? (Assume the ball is thrown upward and that up is the positive direction. Use the following as necessary: y and g.

asked by James on May 18, 2012

A ball is thrown from a height of 105 feet with an initial downward velocity of 9/fts . The ball's height h (in feet) after t seconds is given by the following. =h−105−9t16t2 How long after the ball is thrown does it hit the

asked by 902 on February 5, 2016
1. ### statistics

A multiple choice test has 3 questions and each question has 3 choices. If Nacho takes this test, what is the probability that he will: (a)answer all questions correctly? (b)answer all questions wrong? (c)answer two questions

asked by Venice on February 7, 2014
2. ### overview of teaching techniques

which of the following statements is a good technique to use when tutoring a student? (a)''the next problem is easy.you should be able to get it.'' (b)''this next problem is hard,but lets see if you can get it.''(my answer)

asked by susue on August 25, 2011
3. ### statistic

Quiz has 6 questions. Each question has five possible answers, only one of each 5 answers is correct. If student randomly guesses on all six questions, what is the probability to answer 2 questions right? Tip: first, you have to

asked by tanya on December 4, 2010
4. ### physics

a stone is thrown straight upward and rises to a maximum vertical height of 40.0m. with what velocity was it thrown and how long does it take for the stone to return to the initial level from which it was thrown?

asked by roger on June 20, 2014
5. ### Grammar

Write in the correct verb tense. 18.Joseph's English (improve, really) , isn't it? He (watch) American television programs and (study) his grammar every day since he first arrived in San Diego. Soon he will be totally fluent. I am

asked by Anonymous on August 26, 2014
6. ### Math

A 100 point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and the short response answer questions are worth 8 pints each. Write a system of linear equations that represents this

asked by Steven on May 6, 2016