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Angelina_Jolie [31]
3 years ago
14

Monika has 67 stamps in her collection. To expand the collection, she is planning to buy some books of stamps that have 14 stamp

s each. All of the books cost the same. Monika is not sure yet about the number of books of stamps she wants to buy, but she has enough money to buy up to 5 of them. Write a function to describe how many stamps Monika can have. Let x represent the number of books of stamps Monika buys. Find a reasonable domain and range for the function.
A) f(x) = 67x + 14
D: (1,2,3,4); R: (81, 95, 109, 123, 137)

B) f(x) = 14x + 67
D: (0, 1, 2, 3, 4, 5); R: (67, 81, 95, 109, 123, 137)

C) f(x) = 67x + 14
D: (5); R: (137)

D) f(x) = 14x + 67
D: (0, 1, 2, 3, 4); R: (67, 81, 95, 109, 123)
Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer:

A

Step-by-step explanation:

It gave us 5 domains and 5 ranges :)

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On a residential single lane road there was a wreck that backed up traffic for 4 miles. 70% of the traffic consists of cars and
kolezko [41]

Answer:

There are approximately 1145 vehicles are stuck in the traffic jam. It is very close to option C.

Step-by-step explanation:

To determine:

Estimate how many vehicles are stuck in the traffic jam.

Information Fetching and Solution Steps:

  • On a residential single lane road there was a wreck that backed up traffic for 4 miles.
  • 70% of the traffic consists of cars and 30% of the traffic consists of trucks.
  • The average distance between vehicles is 3 feet.
  • The average length of a car is 13.5 feet.
  • The average length of a truck is 20 feet.
  • There are 5280 feet in 1 mile

Let 'n' be the total number of vehicles stuck in the traffic jam.

So, the equation becomes

0.7n\cdot \:13.5+0.3n\cdot \:20+3n-3=4\cdot \:5280

\mathrm{Multiply\:the\:numbers:}\:0.7\cdot \:13.5=9.45

9.45n+20\cdot \:0.3n+3n-3=4\cdot \:5280

\mathrm{Multiply\:the\:numbers:}\:0.3\cdot \:20=6

9.45n+6n+3n-3=4\cdot \:5280

\mathrm{Add\:similar\:elements:}\:9.45n+6n+3n=18.45n

18.45n-3=4\cdot \:5280

\mathrm{Multiply\:the\:numbers:}\:4\cdot \:5280=21120

18.45n-3=21120

\mathrm{Multiply\:both\:sides\:by\:}100

18.45n\cdot \:100-3\cdot \:100=21120\cdot \:100

\mathrm{Refine}

1845n-300=2112000

1845n-300+300=2112000+300

1845n=2112300

\frac{1845n}{1845}=\frac{2112300}{1845}

n=\frac{46940}{41}

n=1144.87804

Estimating to get the integer vehicle number and rounding it to the nearest integer.

n\:\approx \:1145 vehicles

Therefore, there are approximately 1145 vehicles are stuck in the traffic jam, which is very close to option C.

Keywords: word problem

Learn more about solving word problem from brainly.com/question/6869962

#learnwithBrainly

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