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.
