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 the value of X? <br><br> Enter your answer in the box<br><br><br> X = blank
den301095 [7]
The value of X is 146.


180= the line

180-134= 146.
7 0
3 years ago
Read 2 more answers
Misty wishes to obtain 85 ounces of a 40% acid solution by combining a 72% acid solution with a 25% acid solution. How much of e
Y_Kistochka [10]

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

<u>Step-by-step explanation:</u>

Total mass of acid required= 85 ounces

Let the mass of 72% acid be 'a'

Let the mass of 25% acid be 'b'

a + b = 85

b = 85-a

85(40/100) = a(72/100) + b(25/100)

85(2/5) = a(72/100) +(85- a) (25/100)

34 = (72a/100) + (2125/100) - (25a/100)

34 - (2125/100) = (72a + 25a) /100

(3400-2125)/100 = 97a /100

97a = 1275

a =  13.15 ounces

b = 85 - 13.14

b = 71.85 ounces

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

4 0
3 years ago
PLEASE help me out? Thank you! Have a great day!
Leya [2.2K]
You are trying to figure out 1/6 of her weight. Since her weight is 19 pounds, you would put it over one to create a fraction and times is by 1/6 which would give you 19/6.

8 0
3 years ago
49 more than the quotient of an unknown number and 12 is 53. What is the value of the unknown number?
nalin [4]
The unknown number is 48 using the equation: x ÷ 12 +49=53 subtract 49 from both sides and get x ÷ 12 = 4 multiplying by 12 on both side to get rid of the ÷12 and get the final answer of x=48.
6 0
3 years ago
On Saturday morning Briana and her friends walked 1.35 miles. What is the distance as a decimal
padilas [110]

Answer:

1.35 miles is the distance walked in decimal form

Step-by-step explanation:

1 (decimal) 35

3 0
2 years ago
Other questions:
  • A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
    8·1 answer
  • Which of the following is a composite number? 61 , 13 , 63 , 31
    7·1 answer
  • Solve for x. 7(x - 3) = 4(x 5) x = x = x = x = user: which of the following is the solution set of the given equation? (x - 3) -
    9·1 answer
  • 3. The point (12,9) is included in a direct variation. What is the constant of variation? (1 point)
    14·2 answers
  • You want to build a wheelchair ramp leading up to your house. Your front door is 2 feet higher than the driveway and you would l
    15·1 answer
  • Find the protucts of each pair of complex conjugates. (4+5i)(4-5i)
    8·2 answers
  • PLEASE HELP (PRE ALGEBRA)
    15·1 answer
  • I need help ASAP. If the measure of
    11·2 answers
  • The following table shows the values of y for different values of x:
    12·1 answer
  • Reuben is putting money into a savings account. He starts with $350 in the savings account, and each week he adds $60.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!