Respuesta :
Answer:
B
Step-by-step explanation:
Although this problem is quite long and exhausting, it is deceptively simple.
We know that his 12-gallon fuel tank is only half full, so we know that the car needs 6 more gallons of fuel.
If he turns in the car late, he will have to pay y = 2.59x + 32.00, where x is the number of empty gallons (in this case, 6)
In this case, he will pay 2.59(6) + 32.00 = $47.54
If he turns in the car on time, he will have to pay y = 4.50x + 5.00, where x is the number of empty gallons (still 6).
In this case, he will pay 4.50(6) + 5.00 = $32.00
Using these results, we know that B must be true.
Equation compares expressions. It would be cheaper for Tim to return the car on time and pay the refueling costs.
What is an equation?
An equation is the comparison of the two expressions with help of equal to sign.
We know that if Tim takes the car to the owner he will charge him $4.50 per gallon for the fuel, while also, he needs to pay $5 as the refueling cost. Therefore, the equation that can be modeled as,
[tex]y = 4.50x + 5[/tex]
Where y is the total cost of refueling at the owner's place, x is the gallons of fuel, and 5 is the fixed cost that Tim needs to pay even for a single gallon of fuel as well.
Since the fuel tank is half and its capacity is 12 gallons, therefore the total cost of refueling at the owner's place,
[tex]y = 4.50(6) + 5\\\\y =\$32[/tex]
If Tim went to refuel at the station then, he will get the need to pay the late fee of $32, as well as the cost of the 6 gallons of fuel at $2.59 per gallon, therefore, the equation can be modeled as,
[tex]y = 2.59(6) + 532\\\\y =\$547.54[/tex]
Hence, It would be cheaper for Tim to return the car on time and pay the refueling costs.
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