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
Zolol [24]
3 years ago
7

Some scientists say, happiness, when measured on a scale of 0 (super unhappy) to 100 (super happy), is a function of the number

of hours you spend on instagram per day. They say when 0 hours spent, the average happiness level is 60, and each hour spent thereafter diminishes their happiness by 2. Express this statement in terms of a mathematical function
Mathematics
1 answer:
ololo11 [35]3 years ago
7 0

Answer:

f(x) = 60-2x

Step-by-step explanation:

Suppose that f(x) = y is a happiness function. It is a function of the number of hours you spend on Instagram per day. That means that the output of the function will be a "happiness score",i.e. the value between 0 and 100, and the variable <em>x </em>will be an output value, the hours spent on Instagram daily.

We know that if we spend 0 hours on Instagram per day the happiness score will be 60, which means that:

f(0) = 60

If we spend 1 hour per day on Instagram our level of happiness will be decreased by 2, i.e. 60-2 = 58. Therefore,

f(1) = 58

If we spend 2 hours on Instagram per day our level of happiness will be decreased even more, i.e. 58-2 = 56. Therefore,

f(2) = 56

Notice that 56 = 60-4 = 60-2*2

If we spend 3 hours on Instagram per day our level of happiness will be decreased even more, i.e. 56-2 = 54. Therefore,

f(3) = 54

Notice that 54 = 60-6 = 60-3*2

Now we can see the pattern from which the level of happiness can be calculated. It is 60 decreased by the number of hours multiplied by 2.

Hence, the "happiness function" is:

f(x) = 60-x*2 = 60-2x, where x is a number of hours spent on Instagram.

You might be interested in
George and Maria decided to create a garden in their backyard. George Works on the garden every third day and Maria works on the
mario62 [17]
The LCM of 3 and 4 is 12
8 0
3 years ago
Read 2 more answers
Distribute -2(2x-1)(x+3), i forgot how to use the distributive property to check my work on factoring quadratics.
Gwar [14]
-2(2x-1)(x+3) = ((-2)2x - (-2)(-1))(x+3) = (-4x-2)(x+3) 
3 0
3 years ago
Read 2 more answers
How would you round this to the nearest mile 244.1399784294165944?
KonstantinChe [14]
It would be rounded down to 244 as its only .1 so its closer to 244 than it is to 245
4 0
2 years ago
Read 2 more answers
Can you guys please help me I will give you a point
ryzh [129]
Ain't nobody got time fo dat (drawing number lines)

7 and 1/4=7+1/4

7 and 1/4-3 and 3/4=4 and 1/4-3/4 means
7+1/4-3-3/4=4+1/4-3/4 rearange
7-3+1/4-3/4=4+1/4-3/4
4-2/4=4-2/4
4-1/2=4-1/2
3 and 1/2=3 and 1/2
7 0
2 years ago
How many six-digit odd numbers are possible if the left digit cannot be zero?
melisa1 [442]
We are asked for the number of <span>six-digit odd numbers that can be formed. the left-most digit should not be zero because it make the number -five digit already. An odd number ends only in 1, 3, 5, 7 and 9. Using counting, the 6th digit can only have 5 numbers, the 5th, 4th, 3rd, and 2nd can have, 10 numbers. The first number can only have 9 numbers. Hence the total number is 450,000</span>
6 0
2 years ago
Other questions:
  • There are 192 students, ratio is 6:2 - how many do there homework and how many do not
    13·2 answers
  • What is the solution for 3x+10y-12z=40
    11·1 answer
  • What is the volume of the cone in the diagram? height:18 radius:10
    13·2 answers
  • What is the circumference of a circle with a diameter of 5 feet? Use 3.14 for π.
    10·1 answer
  • Use the function below to find
    10·1 answer
  • The probability is 0.2 that a person shopping at a certain store will spend less than $20. For groups of size 17, find the mean
    8·1 answer
  • Travis has hired Charlie and Dora to plant flowers . Dora can plant 150 flowers in the same time it takes Charlie to plant 120 f
    14·1 answer
  • Simplify:<br> 64 ÷ 8 + 6 (2)<br><br> A. 23<br> B. 20<br> C. 17
    9·2 answers
  • Please answer step by step:<br><br><br><br> -4=2x+16<br><br> What does x equal?<br><br> x=____?
    7·1 answer
  • A salesman earns $250 per week PLUS a 10% commission on all sales over $5000. In one week, his sales totaled $14,000. What were
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!