Which option will you advise the school principal to choose if the estimated distance to be traveled is 800 km? Show your calculations.

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Answer :

Alright, let's go through the problem step-by-step to determine which option to advise the school principal to choose for a journey with an estimated distance of 800 kilometers.

1. Identify the problem:
- We need to estimate the total cost for a trip of 800 km using two transportation options.
- Each option has a different cost per kilometer.

2. Option 1 details:
- Cost per kilometer for Option 1 is [tex]$1.5. 3. Option 2 details: - Cost per kilometer for Option 2 is $[/tex]2.0.

4. Calculate the total cost for each option:

Option 1:
[tex]\[ \text{Total cost for Option 1} = \text{estimated distance} \times \text{cost per kilometer} \][/tex]
Plugging in the values:
[tex]\[ \text{Total cost for Option 1} = 800 \, \text{km} \times 1.5 \, \text{\$ per km} = 1200 \, \$. \][/tex]

Option 2:
[tex]\[ \text{Total cost for Option 2} = \text{estimated distance} \times \text{cost per kilometer} \][/tex]
Plugging in the values:
[tex]\[ \text{Total cost for Option 2} = 800 \, \text{km} \times 2.0 \, \text{\$ per km} = 1600 \, \$. \][/tex]

5. Compare the total costs:
- The total cost for Option 1 is [tex]$1200. - The total cost for Option 2 is $[/tex]1600.

Since [tex]$1200 is less than $[/tex]1600, Option 1 is the more economical choice.

6. Conclusion:
I would advise the school principal to choose Option 1 as it will cost the school [tex]$1200 for the 800 km trip, whereas Option 2 will cost $[/tex]1600 for the same distance.

Thus, the best option for the school is Option 1, with a total cost of $1200.