The graph that best represents the system of inequalities would be the second one.
y > -2x - 2
y
x + 4
To check how much Tim will pay to refill the gas tank using one of the on-site pumps, we can create a linear model. We know from our problem that the Renter's charge $4.50 per gallon plus a $5.00 refueling, so let

be the number of gallons and

the total cost.
We also know that the fuel tank in the car is half empty and t<span>he car has a 12-gallon fuel tank, so half tank is 6 gallons. Lets replace the number of gallons in our linear model with 6 to fin the total cost:
</span>



Now, to find how much Tim will pay if he decides to refuel the car on his own, we can also create a linear model.
Let

be the number of gallons and

the total cost. We know form our problem that <span>refueling the car on his own will cost $2.59 per gallon and the late fee charge is $32.
</span>

<span>We already know that half tank is 6 gallons, so
</span>



<span>
Comparing the result of our two linear models we can conclude that the correct answer is: </span><span>
b. It would be cheaper to return the car on time and pay the refueling costs.</span>
Axis of symmetry: x= -1
Vertex: (-1 , -7)
Opens Up
No asymptotes
<em><u>I</u></em><em><u> </u></em><em><u>am</u></em><em><u> </u></em><em><u>not</u></em><em><u> </u></em><em><u>sure</u></em><em><u> </u></em><em><u>about</u></em><em><u> </u></em><em><u>my</u></em><em><u> </u></em><em><u>ans</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
The answer is B, d=t+100. (Can I have Brainlest?)