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
SVETLANKA909090 [29]
2 years ago
9

Construct a mathematical model for the following real-life situations(make a table)

Mathematics
1 answer:
zhenek [66]2 years ago
6 0

The mathematical model representing the scenarios described can be expressed as follows :

  • If n ≤ 8 ; A(n) = 31.25n
  • If n > 8 ; A(n) = 31.25 + 46.875(n - 8)

  • T(n) = 15 + 5(n - 1)

1.)

Amount paid per 8 hours at summer job = 250

Additional hours beyond, 8 hours = 1.5 × hourly rate

Let:

  • hourly rate = p
  • Number of hours worked = n
  • Amount earned as a function of n, A(n)

Hourly rate, p = (250 ÷ 8) = 31.25

Therefore, the hourly rate, p at the summer job = $31.25

Overtime pay = 1.5 × 31.25 = $46.875

Therefore,

If n ≤ 8 ; A(n) = 31.25n

If n > 8 ; A(n) = 31.25 + 46.875(n - 8)

2.)

Let :

  • Number of playing hours = n
  • Total amount charged as a function of n ; T(n)

Therefore,

T(n) = First hour fee + (charge per additional hour × number of additional hours)

T(n) = 15 + 5(n - 1)

Therefore, the models can be used to calculate the total earning and amount charged for any given hour value.

Learn more :brainly.com/question/18112348

You might be interested in
Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help
xxMikexx [17]

Answer:

Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.

Step-by-step explanation:

Hope this helps!

4 0
2 years ago
Read 2 more answers
Can anyone please help me <br><br>-1.6 = k + 0.9​
ololo11 [35]

Answer: k=-6

-6=k+0

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
the point (2,3) is in the terminal side of an angle theta, in standard position. what are the values of sine, cosine, and tangen
suter [353]
(2,3) so x=2, y=3 and h=(2^2+3^2)^(1/2)=√13

sina=3/√13, cosa=2/√13, tana=3/2 Afterwards multiply sina and cosa by √13/√13 and get sina=(3√13)/13 and cosa=(2√13)/13
8 0
3 years ago
Find the area of the figure
Aleonysh [2.5K]

the correct answer is 3249 sorry i took so long

6 0
3 years ago
Read 2 more answers
What is the range of f(x)=-3^x+4
Mice21 [21]
The range is [4,∞)
Or from 4 to positive infinity
Or y is greater than or equal to 4
5 0
2 years ago
Other questions:
  • What is the answer to 16b+5c-10-8c+2b
    8·1 answer
  • To subtract a fraction or a mixed number from a whole number, you’ll first need to convert the whole number to which of the foll
    10·2 answers
  • Two lines, R and M, are represented by the following equations:
    11·1 answer
  • Paul has 24 marbles 1 out of 3 his marbles are red. how many of paul's marbled are red?
    14·2 answers
  • 4. Written as the product of two binomials, the expression (x+3)(4x –1)-(x+3)(x –9) is
    11·1 answer
  • HELP PLEASE WILL GIVE BRAINLIST, I DONT HAVE MUCH TIME.IF I PASS THIS I GET TO GO TO DISNEY
    11·1 answer
  • Find the mean:<br> 28, 18, 19, 18, 17<br> Heh help
    14·2 answers
  • Solve A=Q + ms for Q.
    11·1 answer
  • Think About the Process At a little-known vacation spot, taxi fares are a bargain. A 28-mile taxi
    9·1 answer
  • PLS HURRY TIMED!!!<br><br> .<br> .<br> .<br> .<br> .<br> .<br> .<br> .
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!