Megan goes on walking holiday for five days. The table shows how far she walked on the first four days. Monday-14km,Tuesday-23km,Wednesday-13km,Thursday-13km Megan says,'My average for the first four days is more than 15km.' Explain why Megan is correct. Friday is her last day. She wants to increase her average to 17 km. How many kilometres must she walk on Friday?

1 answer
Question:

Megan goes on walking holiday for five days.
The table shows how far she walked on the first four days.
Monday-14km,Tuesday-23km,Wednesday-13km,Thursday-13km
Megan says,'My average for the first four days is more than 15km.'
Explain why Megan is correct.
Friday is her last day.
She wants to increase her average to 17 km.
How many kilometres must she walk on Friday?

Answers

Answer:   a) Megan's total so far is 3 km more than necessary for an average of 15 km   b) 22 kmStep-by-step explanation:a) The total of differences from 15 is ...   -1 + 8 + (-2) +(-2) = 3Since this is more than 0, Megan's average is more than 15.__b) The total of differences from 17 is ...   -3 +6 -4 -4 = -5To increase her average to 17 km, Megan must walk 17+5 = 22 km on Friday._____Comment on the approachIn general, I find it easier mentally to deal with small numbers than with larger ones. So adding small differences can be easier than computing larger sums.a) By computing the difference from the supposed average, we have effectively found the difference of the sum of values from the total necessary to give the required average. That is, Megan's average would be 15 if her total distance were 4·15 = 60. Her total distance is (4·15 +3) = 63, so her average is more than 15.b) By finding out how much the total is below that necessary for the desired average, we determine the amount above that average the final number needs to be.   (14 -17) +(23 -17) +(13 -17) +(13 -17) +(Friday -17) = 0 . . . . the Friday value to make an average of 17   14 +23 +13 +13 +Friday = 5·17 . . . . . . . add 5·17   (14 +23 +13 +13 +Friday)/5 = 17 . . . . . . shows the Friday amount gives the required average   Friday = 17 -((14 -17) +(23 -17) +(13 -17) +(13 -17)) . . . . first equation rearranged to show how we computed Friday   Friday = 17 -(-5) = 17 +5 = 22

Similar Solved Questions

1 answer

If the purpose of Sara's speech is to increase support for her campaign, which of the following options BEST summarizes her controlling idea (or argument)? A. You should vote for me. B. You should support me financially. C. You should not waste your time voting. D. You should not support anyone but me.

If the purpose of Sara's speech is to increase support for her campaign, which of the following options BEST summarizes her controlling idea (or argument)? A. You should vote for me. B. You should support me financially. C. You should not waste your time voting. D. You should not support anyone but ...
2 answers

My favorite TV show is The Simpsons. In order to be punctuated correctly, how must the sentence above be rewritten? A. My favorite TV show, is The Simpsons. B. My favorite TV show is: The Simpsons. C. My favorite TV show is The Simpsons!! D. My favorite TV show is The Simpsons.

My favorite TV show is The Simpsons. In order to be punctuated correctly, how must the sentence above be rewritten? A. My favorite TV show, is The Simpsons. B. My favorite TV show is: The Simpsons. C. My favorite TV show is The Simpsons!! D. My favorite TV show is The Simpsons....
1 answer

Because each supply chain process should add value to the products or services a company produces, a supply chain is frequently called a __________ chain.

Because each supply chain process should add value to the products or services a company produces, a supply chain is frequently called a __________ chain....
2 answers

Which word is the direct object in this sentence? Tomorrow, I have to take a science test. A) have to take B) Tomorrow C) I D) test

Which word is the direct object in this sentence? Tomorrow, I have to take a science test. A) have to take B) Tomorrow C) I D) test...
2 answers

Look at this equation: 2 H2 + O2 --> 2 H2O. Why isn't there any coefficient in front of oxygen? HELP!! A. A one is assumed when no coefficient is present. B. There is an unlimited amount of oxygen C. The 2 after the oxygen is all that is needed D. All of these

Look at this equation: 2 H2 + O2 --> 2 H2O. Why isn't there any coefficient in front of oxygen? HELP!! A. A one is assumed when no coefficient is present. B. There is an unlimited amount of oxygen C. The 2 after the oxygen is all that is needed D. All of these...
1 answer

A bicycle cover a distance of hundred metre in 5 second calculate the speed of the bicycle​

a bicycle cover a distance of hundred metre in 5 second calculate the speed of the bicycle​...
1 answer

The gardening club wants to plant a 3.9-acre field with pine trees. The first day they were able to plant 0.6 acres. If they continue at this rate, how many days will it take to plant the entire field?

The gardening club wants to plant a 3.9-acre field with pine trees. The first day they were able to plant 0.6 acres. If they continue at this rate, how many days will it take to plant the entire field?...
2 answers

In some video games, the player cannot obtain the reward without doing what with something that they already have? Group of answer choices hiding risking selling maintaining

In some video games, the player cannot obtain the reward without doing what with something that they already have? Group of answer choices hiding risking selling maintaining...
1 answer

The monkey's paw text-dependent questions

The monkey's paw text-dependent questions...
1 answer

Give an example of a monomial of degree zero.

give an example of a monomial of degree zero....
2 answers

What is the most important way to prevent a foodborne illness from​ bacteria? a. prevent​ cross-contamination. b. practice correct cleaning and sanitizing. c. practice good personal hygiene. d. control time and temperature?

What is the most important way to prevent a foodborne illness from​ bacteria? a. prevent​ cross-contamination. b. practice correct cleaning and sanitizing. c. practice good personal hygiene. d. control time and temperature?...
1 answer

A series of ocean waves are moving past a surfer at a frequency of 25 waves per hour. approximately how many waves should the surfer expect during 45 minutes?

A series of ocean waves are moving past a surfer at a frequency of 25 waves per hour. approximately how many waves should the surfer expect during 45 minutes?...
1 answer

What would Edison think of the iPod?  What is the difference between the phonograph and the MP3 player and what do you think Edison would think of the new innovation? 4 paragraphs

What would Edison think of the iPod?  What is the difference between the phonograph and the MP3 player and what do you think Edison would think of the new innovation? 4 paragraphs...
1 answer

Deforestation is a huge threat on a global level. Nevertheless, it contributes to the development of a nation. Justify the needs for deforestation.

Deforestation is a huge threat on a global level. Nevertheless, it contributes to the development of a nation. Justify the needs for deforestation....
1 answer

OMG ONE MORE QUESTIONS THEN I AM DONE!!! How do plants respiratory systems differ from animals respiratory systems? A. Animals can reproduce oxygen gas B. There is no different between respiratory systems C. Plants can produce oxygen gas D. Animals can consume carbon dioxide

OMG ONE MORE QUESTIONS THEN I AM DONE!!! How do plants respiratory systems differ from animals respiratory systems? A. Animals can reproduce oxygen gas B. There is no different between respiratory systems C. Plants can produce oxygen gas D. Animals can consume carbon dioxide...
1 answer

An object moves backwards from where it starts 100 meters in 20 seconds. What is the velocity of the object? Select one: 5 m/s2 -5 m/s 5 m/s - 5 m/s2

An object moves backwards from where it starts 100 meters in 20 seconds. What is the velocity of the object? Select one: 5 m/s2 -5 m/s 5 m/s - 5 m/s2...
2 answers

Identify as a direct variation, inverse variation or neither. y = 6x

Identify as a direct variation, inverse variation or neither. y = 6x...
2 answers

Narrative writing is the

Narrative writing is the...
2 answers

Which could be a reason viruses are considered nonliving things? a)Viruses come from cells. b)Viruses produce cells. c)Viruses are made of DNA and proteins, but not cells. d)Viruses attack cells and are dangerous to them.

Which could be a reason viruses are considered nonliving things? a)Viruses come from cells. b)Viruses produce cells. c)Viruses are made of DNA and proteins, but not cells. d)Viruses attack cells and are dangerous to them....

-- 0.010068--