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NeTakaya
3 years ago
11

Part I: Marco rented a small moving van. The moving company charges $40 a day for up to 5 days. The input is the time, in days,

and the output is the total cost. This mapping diagram shows the inputs and outputs of the rental cost
Is this mapping diagram a function? Why or why not?

Part II:
A. What is the domain of Marco’s mapping diagram?

B. What is the range of Marco’s mapping diagram?

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Given mapping is a function.

Domain: \{1,2,3,4,5\}

Range: \{40,80,120,160,200\}

Step-by-step explanation:

By observing Marco's mapping diagram we can see that every value in time is mapped to only one value in the cost. This means that there will be no repetition or same output to two different outputs so given mapping is a function.

<u>Domain:</u>

Domain is the set of all inputs of a function. Here time is input so domain of function is:

\{1,2,3,4,5\}

<u>Range:</u>

Range is the set of all outputs of the function on domain so the range of the given function is:

\{40,80,120,160,200\}

Hence,

Given mapping is a function.

Domain: \{1,2,3,4,5\}

Range: \{40,80,120,160,200\}

Keywords: Domain, range, function

Learn more about function at:

  • brainly.com/question/774670
  • brainly.com/question/763150

#LearnwithBrainly

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VARVARA [1.3K]
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4 0
3 years ago
I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult pack
anastassius [24]

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

8 0
3 years ago
A clock is constructed so that it keeps perfect time when its simple pendulum has a period of 1.000 s at locations where g 5 9.8
mafiozo [28]

Answer

Given,

Period of the Pendulum, T= 1 s

acceleration due to gravity, g = 9.8 m/s²

Length of Bob = 0.2482 m

Loss of time in the clock = 1.5 minutes/ day

Loss of time in 1 oscillation

   = \dfrac{1.5\times 60}{24\times 60\times 60}

   = 0.001042

Hence, time period, T = 1 + 0.001042

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a) Using Time period of oscillation formula

T = 2\pi \sqrt{\dfrac{L}{g}}

1.001402 = 2\pi \sqrt{\dfrac{0.2482}{g'}}

g' = 9.77\ m/s^2

Free fall acceleration at the clock location = 9.77 m/s²

b) Length of pendulum bob to keep it perfect time

 1 = 2\pi \sqrt{\dfrac{L}{g}}

 1 = 2\pi \sqrt{\dfrac{L'}{9.77}}

 L' = 0.2475\ m

Hence, Length of pendulum bob is equal to 0.2475 m.

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masha68 [24]

Answer:

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