Question 799972
Lets make C=Cost of renting the car, m=miles driven
So the relationship of C in terms of m would be:
{{{C=100+0.1m}}} \
If she only rented the car for a week.
Otherwise another w=week variable will be added.
{{{C=100w+0.1m}}} 
This equation can not be solved unless a number of weeks is given, so lets presume she drove it all in one week.
----------------------------
{{{C=100+0.1m}}}
Inserting C=175 which is the total amount spent
{{{175=100+0.1m}}}
Subtracting 100 from each side
{{{175-100=100+0.1m-100}}}
{{{75=0.1m}}}
Divide by 0.1 which is also equal to multiplying bu 10.
{{{750=m}}}

So Glandy can drive a total of 750 miles if she drives in one week.