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
WITCHER [35]
3 years ago
5

For a special event, a restaurant charges a one-time setup fee, plus a charge for each person attending the event. The charge fo

r 5 people is $100. The charge for 10 people is $162.50.
Part 1) Write a linear function that models the cost, y, of the total event cost based on the number of people, x, attending the event.

Part 2) Describe what the rate of change and initial value mean in this situation.
Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Any linear function is of the form y=mx+b

Here m is slope and b is y intercept.

Slope is difference in y divided by different in x values .

In the question for 5 persons cost is $100 and for 10 persons cost is $162.50

So the points are (5,100) and (10,162.50)

Slope m=\frac{162.50-100}{10-5}=12.50

We can find the value of b by taking m=12.50 and (x,y)=(5,100)

Substitute these values in y=mx+b

100=12.50(5)+b

100=62.50+b

Subtracting 62.50 both sides

b=100-62.50

b=37.5

a) Put m=12.50 and b=37.50 to get the equation

y=12.50x+37.50

b)Rate of change is the m value or the slope of the function.

Initial value that is (5,100) gives us one of the points to find the rate of change.

You might be interested in
What is a common denominator for 2/8 and 3/4 in simplest form?
yKpoI14uk [10]
One least common denominator can be 2
4 0
2 years ago
Read 2 more answers
Find the domain and the range of the relation shown on the
irinina [24]

The domain of a graph is the possible values of x, the graph can take.

<em>(b) The domain of the relation is the interval [-10,10]</em>

From the attached graph, we have the following observations on the x-axis.

  • <em>The value of x starts from -10</em>
  • <em>The value of x ends at 10</em>

So, the domain of x is from -10 to 10

Using interval notation, the domain of the relation is: [-10,10]

Read more about domains at:

brainly.com/question/16875632

5 0
2 years ago
The vertical component of a force of 100 pounds that makes an angle of 30° with the horizontal is 50 pounds. is this true or fal
JulsSmile [24]
The answer is true i just got it correct
6 0
3 years ago
The measures of the angles of a triangle solve for X
kompoz [17]

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

7 0
3 years ago
Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers. If
nadezda [96]

the answer would be D

3 0
3 years ago
Read 2 more answers
Other questions:
  • Karen is typing a report.she typed 3/8of the pages in the report in the morning and 2/5 of the pages in the afternoon.what fract
    9·1 answer
  • Create your own word problem: dividing a fraction by a whole number?
    8·1 answer
  • What is 12 x 0.65 I am stuck <br>​
    15·1 answer
  • Sabendo que f(g(x))=3x-7 e f(x)=1/3x2, então
    9·1 answer
  • What is 0.¯42 expressed as a fraction in simplest form?
    15·2 answers
  • Use the inscribed angle rule to find the value of xin each circle. Show your work.
    12·1 answer
  • G(x)= 3x - 1<br> Find g(2)
    13·1 answer
  • Which expression is equivalent to 4f + f2 + 3?
    10·1 answer
  • The graph of the function b is shown below. if b(x)=-1, than what is x?
    9·1 answer
  • Help me pwease? very last minute
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!