Answer:
[tex]\large \boxed{\$98.16}[/tex]
Step-by-step explanation:
Assume that your map looks like the one below.
1. Calculate the distance
It looks like the distance on the map is 12 cm.
[tex]\text{Distance} = \text{12 cm} \times \dfrac{\text{30 mi}}{\text{1 cm}} = \text{ 360 mi}[/tex]
2. Calculate the volume of gasoline
[tex]\text{Volume} = \text{ 360 mi} \times \dfrac{\text{1 gal}}{\text{15 mi}} = \text{24 gal}[/tex]
3. Calculate the cost of the gasoline
[tex]\text{Cost} = \text{24 gal} \times \dfrac{\$4.09}{\text{1 gal}} = \mathbf{\$98.16}\\\\\text{It will cost $\large \boxed{\mathbf{\$98.16}}$ to drive to the ski lodge.}[/tex]
