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
Kaylis [27]
3 years ago
9

For a field trip, a bus company charges a flat fee plus an additional fee per student. for 25 students, the total cost is 132.50

. if there are 30 students, the total cost is 145. which equation represents the total cost y of the field trip for x students?
Mathematics
2 answers:
pochemuha3 years ago
8 0
The answer is y=5x+7.5
xz_007 [3.2K]3 years ago
6 0

Answer:

y=2.5x+70

Step-by-step explanation:

First of all, this problem is modelled by a linear equation, where the ratio of change is the slope of the line.

Now, we know that x represents students and y represents the total cost.

The problem states that for 25 students, the total cost is $132.50. And for 30 students, the total cost is $145. This information represents two points

(25,132.50) and (30,145).

So, to find the equation, we first have to find the slope using these two point and the following formula

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{145-132.50}{30-25}=\frac{12.5}{5}=2.5

This means the slope is 2.5

Now we use the point-slope formula to find the linear equation

y-y_{1} =m(x-x_{1} )\\y-145=2.5(x-30)\\y=2.5x-75+145\\y=2.5x+70

Therefore, the equation that models this problem is

y=2.5x+70

<em>Where the flat fee is $70, and the fee per student is $2.5.</em>

You might be interested in
A survey of 102 high school students on the amount of money they spend on prom yields an average of $893. Assuming the populatio
Mnenie [13.5K]

Answer:

Margin of error =E=[69]

Step-by-step explanation:

Data provided in the question:

\bar{x}=\$\ 893

\sigma=\$\ 450

n=102

At 88 \% confidence level the z is.

\alpha=1-88 \%=1-0.88=0.12

\frac{\alpha}{2}=\frac{0.12}{2}=0.06

z_{\frac \alpha 2}=20.06=1.555

\text { Margin of error }=E=Z_{\frac \alpha 2} \times \frac{\sigma}{\sqrt{n}}

E=1.555 \times \frac{450}{\sqrt{102}}

Margin of error =E=[69]

7 0
3 years ago
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equa
muminat

Hey there!

The answer to your question is y = -3/4x - 3

If an equation in slope-intercept form is parallel to another equation, they will both have the same slope. So, we know part of the equation:

y = -3/4x + b

Now, we have to solve for b. We know that it has to pass through the given point, (4, -6), so we can plug the points into the equation, and solve for b:

-6 = (-3/4)(4) + b

-6 = -3 + b

-3 = b

We know that "-3" is b, so that means the equation in slope-intercept form is y = -3/4x - 3

Hope it helps, and have an amazing day! You've got this!

6 0
3 years ago
A bakery has 18 large trays of bagels and 20 small trays of bagels. Each large tray holds 30 bagels and each small tray holds 15
Vikentia [17]
73737737373747363373737377373
5 0
3 years ago
87 oz to lb to oz pls help still new and im stupid
Gekata [30.6K]

Answer:

5.4375 Pounds (lb)

Step-by-step explanation:

By using the calculator, and dont call your self stupid we all need help sometimes

8 0
3 years ago
How do you get the answer for .0003 is 1/10 of?
Hitman42 [59]
0.0003 would be 1/10 of 0.00003. If you divided 0.00003 by 10 you would get 0.0003. In fraction form it is 3/10,000

Hoped this helped. 
5 0
3 years ago
Other questions:
  • Raul is playing a trivia game. At the end of the first round, he has 7 points. During the
    12·1 answer
  • How much greater is the perimeter of a square of area 250 square meters than a square with area 125 square maters?
    9·1 answer
  • writing at a Constant rate, amir wrote a 16-page report in 2 1/2 hours. at what constant rate did amir write
    14·1 answer
  • Which statement describes Jaime’s proof
    5·1 answer
  • Need answer pleaseeeee
    12·2 answers
  • Solve the equation Z-19=34
    14·1 answer
  • Find the area and also explain what you did to get the answer.
    12·1 answer
  • Here's a riddle
    5·2 answers
  • I need help somebody tell me the answer .
    5·2 answers
  • This year, Ryan watched 55 movies. He thought that 33 of them were very good. Of the movies he watched, what percentage did he t
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!