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
Tcecarenko [31]
3 years ago
13

The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of serv

ice means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario. This function is a step function.
True or False
Mathematics
2 answers:
joja [24]3 years ago
8 0
The answer is true im 90% sure
maksim [4K]3 years ago
4 0

Answer:

The function represents this scenario is:

\left\{\begin{matrix}0.5, & if & 0\leq x< 3\\ 1, & if & 3\leq x< 6 \\ 1.5, & if & 6\leq x< 9\\ 2, & if & 9\leq x< 12\end{matrix}\right.

It is true that function is a step function.  

Step-by-step explanation:

Consider the provided information.

Let x is the number of years of service.

For less than use the inequality < and for at least use the inequity ≤.

It is given that employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour.

Which can be written as:

0.05 if 0 ≤ x < 3

Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00.

This can be written as:

1.00 if 3 ≤ x < 6

Employees that have been with the company for at least six years, but less than nine years, receive an increase of $1.50 per hour.

This can be written as:

1.50 if 6 ≤ x < 9

And, employees of at least nine years, but less than twelve years receive an increase of $2.00.

This can be written as:

2.00 if 9 ≤ x < 12

Hence, the function represents this scenario is:

\left\{\begin{matrix}0.5, & if & 0\leq x< 3\\ 1, & if & 3\leq x< 6 \\ 1.5, & if & 6\leq x< 9\\ 2, & if & 9\leq x< 12\end{matrix}\right.

Step function is the is a piece wise function includes all constant piece.

For example: \left\{\begin{matrix}x+2 & x\leq -1\\ 1 & x> 1 \end{matrix}\right.

The obtained function is also a piece wise function includes all constant piece.

Hence, it is true that function is a step function.  

You might be interested in
1) (−12) + 7 what is the answer to this problem
Vladimir79 [104]
The answer to the problem is -5
3 0
3 years ago
Read 2 more answers
Help me please this is due tommorow morning
nataly862011 [7]

Answer:

E: (2, -1)

F: (3, -1)

G: (3, -2)

H: (2, -2)

Step-by-step explanation:

Reflect all coordinates over an x-axis

Because you are reflection 180 degrees over the x axis, the y-axis is going to stay the same (because you are not moving the square left or right. When reflecting over axis always add the same amount you took away from the other side, if that makes any sense.

7 0
3 years ago
. Tommy gives baseball cards to four of his friends. He gives Kiana 3 cards less than he gives Gary.
Licemer1 [7]
We need to write system of equations for this problem. Reading text we write 1 equation by 1.
first lets name our variables
x - Kiana cards
y - Gary cards
z - Monty cards
m - Willa cards

x = y-3         which we can write as y = x+3
z = x + 7
m = 2z
x + y + z + m = 74

I think easiest way to solve this is to express all variables in last equation and solve for x.
x + x+3 + x + 7+ 2x + 14= 74
5x = 50
x = 10
now we just calculate cards given to each friend

y = 13
z = 17
m = 34
7 0
3 years ago
Someone help no websites or links plz if right will mark brainiest :)
natima [27]

Answer:

Cos Z= 4/5

Step-by-step explanation:

Hope it helps you!

5 0
3 years ago
Help asap they are in order form top to bottom <br><br> A<br> B<br> C<br> D
Olin [163]

Answer: The answer is B

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is 9 more than the product of five and a number "n" written as an algebraic expression
    6·2 answers
  • Calling All Mathematicians Please Please Please Help On This Question!!!!!!!!!!!!!!
    10·1 answer
  • 5x680 in the Distributive property
    8·1 answer
  • There are 60 tables in a restaurant, with 25% of them seating 22 people. The tables remaining seat 44 people. How many seats are
    8·1 answer
  • Is 944544 divisible by 10
    11·2 answers
  • Can someone help me with this question? <br> (2,5) and (10,3) What is the slope and the y-intercept
    9·1 answer
  • Which of these transformations occurs when the blades of a fan turn?
    13·1 answer
  • If the quadratic function y=8x−4x2+5y=8x−4x2+5 is to be transformed in its vertex form, what number should be placed in the box?
    5·1 answer
  • 4. Gilbert works picking strawberries. He
    15·1 answer
  • Select the correct answer.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!