Let's define the cost equations for each company based on the information given.
1. For Company A:
- Initial fee: $95
- Cost per mile: $1
- Cost equation:
\[
A(x) = 95 + 1x
\]
or
\[
A(x) = 95 + x
\]
2. For Company B:
- Initial fee: $75
- Cost per mile: $2
- Cost equation:
\[
B(x) = 75 + 2x
\]
Now, if Makayla needs to drive 35 miles, we can substitute \( x = 35 \) into both equations to find the total costs.
**For Company A:**
\[
A(35) = 95 + 1(35) = 95 + 35 = 130
\]
**For Company B:**
\[
B(35) = 75 + 2(35) = 75 + 70 = 145
\]
Now, let's compare the costs:
- Company A's charge for driving 35 miles: $130
- Company B's charge for driving 35 miles: $145
Since $130 (Company A) is less than $145 (Company B), **Company A would be the cheaper option for Makayla if she needs to drive 35 miles.**