10. go the the london transit website (https://www.londont transit.ca/), and look up the different options…

10. go the the london transit website (https://www.londont transit.ca/), and look up the different options for bus fares for josephine, a 16 - year - old student/youth, and fill out the chart below:\n| option | price |\n|--|--| \n| cash fare | |\n| bus tickets | |\n| bus pass | |\n11. how many times would josephine need to take the bus paying cash for her fare to make it worth getting a bus pass? (show all math calculations)\n12. assuming that josephine works 4 shifts a week and needs to take the bus to and from work, should she pay cash, buy bus tickets or buy a bus pass? explain your choice.\n13. josephine completed her shift and went to the corner store to buy something to drink. she wanted to purchase a gingerale. there were 2 prices listed: $2.69 for 1l or $0.99 for 355 ml. she wanted to purchase the one that was the better buy. which one is the better buy? show your calculations and explain as necessary.

10. go the the london transit website (https://www.londont transit.ca/), and look up the different options for bus fares for josephine, a 16 - year - old student/youth, and fill out the chart below:\n| option | price |\n|--|--| \n| cash fare | |\n| bus tickets | |\n| bus pass | |\n11. how many times would josephine need to take the bus paying cash for her fare to make it worth getting a bus pass? (show all math calculations)\n12. assuming that josephine works 4 shifts a week and needs to take the bus to and from work, should she pay cash, buy bus tickets or buy a bus pass? explain your choice.\n13. josephine completed her shift and went to the corner store to buy something to drink. she wanted to purchase a gingerale. there were 2 prices listed: $2.69 for 1l or $0.99 for 355 ml. she wanted to purchase the one that was the better buy. which one is the better buy? show your calculations and explain as necessary.

Answer

Explanation:

Step1: Look up bus - fare prices

Since this requires visiting the London Transit Website (https://www.londontransit.ca/), this step cannot be completed here as it needs real - time website lookup. But assume we have the following general approach for the subsequent steps. Let the cash fare be $C$, the price of bus tickets be $T$, and the price of a bus pass be $P$.

Step2: Calculate break - even for bus pass (Question 11)

Let $n$ be the number of times taking the bus. We want to find $n$ such that $n\times C\geq P$. So $n = \lceil\frac{P}{C}\rceil$ (ceiling function to get the smallest whole number of trips).

Step3: Analyze transportation cost for work (Question 12)

Josephine works 4 shifts a week and takes the bus to and from work, so she takes the bus $4\times2 = 8$ times a week. Compare the total cost of paying cash ($8\times C$), buying bus tickets ($8\times T$ if applicable in a per - trip sense), and the cost of a bus pass $P$. If $8\times C>P$ and $8\times T>P$, then the bus pass is a better option. If $8\times C < P$ and $8\times T < P$, and $8\times C<8\times T$, then paying cash is better.

Step4: Compare drink prices (Question 13)

First, convert the volume of the second option to liters. Since $1L = 1000mL$, then $355mL=0.355L$. The unit price of the first option (for 1L at $2.69) is $u_1 = 2.69$ dollars per liter. The unit price of the second option (for 355mL at $0.99) is $u_2=\frac{0.99}{0.355}\approx2.79$ dollars per liter.

Answer:

  1. Cannot be answered without website lookup.
  2. $n = \lceil\frac{P}{C}\rceil$ (where $P$ is the price of the bus pass and $C$ is the cash fare).
  3. Compare $8\times C$, $8\times T$, and $P$ to decide. If $8\times C$ is the lowest, pay cash; if $8\times T$ is the lowest, buy bus tickets; if $P$ is the lowest, buy a bus pass.
  4. The 1L ginger - ale for $2.69$ is the better buy since its unit price ($2.69$ dollars per liter) is less than the unit price of the 355mL ginger - ale ($\approx2.79$ dollars per liter).