Sure! Let's solve the problem step-by-step.
1. Identify the distances:
- The distance of Butterfly Lane is 3.6 miles.
- The distance of Cricket Avenue is 2.4 miles.
- The distance of Grasshopper Boulevard is 3.6 miles.
2. Total distance from point A to point B:
To get from point A to point B, Jamie takes Butterfly Lane and Cricket Avenue:
[tex]\[
\text{Distance from A to B} = \text{Distance of Butterfly Lane} + \text{Distance of Cricket Avenue}
\][/tex]
[tex]\[
\text{Distance from A to B} = 3.6 \, \text{miles} + 2.4 \, \text{miles} = 6.0 \, \text{miles}
\][/tex]
3. Distance from point B back to point A:
Jamie takes Grasshopper Boulevard to return to point A from point B:
[tex]\[
\text{Distance from B to A} = \text{Distance of Grasshopper Boulevard} = 3.6 \, \text{miles}
\][/tex]
4. Total distance travelled:
To find the total distance travelled by Jamie, we add the distance from A to B and the distance from B to A:
[tex]\[
\text{Total distance travelled} = \text{Distance from A to B} + \text{Distance from B to A}
\][/tex]
[tex]\[
\text{Total distance travelled} = 6.0 \, \text{miles} + 3.6 \, \text{miles} = 9.6 \, \text{miles}
\][/tex]
5. Calculate the total payment:
Jamie gets paid [tex]$2 per mile. Therefore, the total payment is given by:
\[
\text{Total payment} = \text{Total distance travelled} \times \text{Payment per mile}
\]
\[
\text{Total payment} = 9.6 \, \text{miles} \times 2 \, \text{dollars per mile} = 19.2 \, \text{dollars}
\]
So, Jamie would get paid $[/tex]19.20 for delivering food along the described route.
