Mathematics, 04.02.2020 09:54 lilyrockstarmag

While staying in buenos aires, argentina, you decide to take a trip to three other cities: tucuman, bahia blanca, and salta. the following table shows the costs associated with traveling to or from each of these four cities. all costs listed are given in argentine pesos ($).

origin and destination
cost ($)
buenos aires to tucuman
211
buenos aires to bahia blanca
268
buenos aires to salta
238
tucuman to buenos aires
272
tucuman to bahia blanca
195
tucuman to salta
203
bahia blanca to buenos aires
200
bahia blanca to tucuman
229
bahia blanca to salta
211
salta to buenos aires
193
salta to tucuman
267
salta to bahia blanca
275

using the information in the table, determine the least expensive way to visit all of these cities, starting and ending in buenos aires.
a.
buenos aires 2007-14-01-00-00_files/i022.jpg salta 2007-14-01-00-00_files/i0220001.jpg bahia blanca 2007-14-01-00-00_files/i0220002.jpg tucuman 2007-14-01-00-00_files/i0220003.jpg buenos aires
b.
buenos aires 2007-14-01-00-00_files/i0220004.jpg tucuman 2007-14-01-00-00_files/i0220005.jpg salta 2007-14-01-00-00_files/i0220006.jpg bahia blanca 2007-14-01-00-00_files/i0220007.jpg buenos aires
c.
buenos aires 2007-14-01-00-00_files/i0220008.jpg tucuman 2007-14-01-00-00_files/i0220009.jpg bahia blanca 2007-14-01-00-00_files/i0220010.jpg salta 2007-14-01-00-00_files/i0220011.jpg buenos aires
d.
buenos aires 2007-14-01-00-00_files/i0220012.jpg bahia blanca 2007-14-01-00-00_files/i0220013.jpg tucuman 2007-14-01-00-00_files/i0220014.jpg salta 2007-14-01-00-00_files/i0220015.jpg buenos aires

Answers: 1

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Answer from: villarrealc1987

The answer is c.
Buenos Aires 2007-14-01-00-00_files/i0220008.jpg Tucuman 2007-14-01-00-00_files/i0220009.jpg Bahia Blanca 2007-14-01-00-00_files/i0220010.jpg Salta 2007-14-01-00-00_files/i0220011.jpg Buenos Aires

Buenos Aires to Tucuman: BA-T = 211
Buenos Aires to Bahia Blanca: BA-BB = 268
Buenos Aires to Salta: BA-S = 238
Tucuman to Buenos Aires: T-BA = 272
Tucuman to Bahia Blanca: T-BB = 195
Tucuman to Salta: T-S = 203
Bahia Blanca to Buenos Aires: BB-BA = 200
Bahia Blanca to Tucuman: BB-T = 229
Bahia Blanca to Salta: BB-S = 211
Salta to Buenos Aires: S-BA = 193
Salta to Tucuman: S-T = 267
Salta to Bahia Blanca: S-BB = 275

Let's check all options:
a. Buenos Aires - Salta - Bahia Blanca - Tucuman - Buenos Aires:
BA-S + S-BB + BB-T + T-BA = 238 + 275 + 229 + 272 = 1014

b. Buenos Aires - Tucuman - Salta - Bahia Blanca - Buenos Aires:
BA-T + T-S + S-BB + BB-BA = 211 + 203 + 275 + 200 = 889

c. Buenos Aires - Tucuman - Bahia Blanca - Salta - Buenos Aires:
BA-T + T-BB + BB-S + S-BA = 211 + 195 + 211 + 193 = 810

d. Buenos Aires - Bahia Blanca - Tucuman - Salta - Buenos Aires:
BA-BB + BB-T + T-S + S-BA = 268 + 229 + 203 + 193 = 893

Thus, the least expensive way to visit all of these cities is choice c.

Answer from: Quest

The answer is $9.90 with rounding to the nearest tenth

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

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