Answer: 11. 5 hours
Explanation:
Let x be the number of hours Esmeralda rents the car.
According to the given statement , the expression for the total xepnediture on renting the car :-
![52+8x](https://img.qammunity.org/2019/formulas/mathematics/high-school/xam851d4r5pap1rmxwdc2lxgfht4mtg7ny.png)
Since, she has $144 available to spend on a car rental such that
![52+8x=144](https://img.qammunity.org/2019/formulas/mathematics/high-school/4fcw2vjz346iivdtlz1vijlqcx8443v1ry.png)
To find x, first we subtract 52 from both the sides , we get
![8x=92\\\\\Rightarrow\ x=11.5](https://img.qammunity.org/2019/formulas/mathematics/high-school/xc4fvnajeibbxh3nqbl77vo9w6kc55lj0e.png)
Hence, the greatest number of hours which she rents the car = 11.5