Respuesta :
Answer:
THE NUMERATOR OF THE RATIONAL EXPRESSION REPRESENTS THE TOTAL COST OF GASOLINE PURCHASED.
THE DENOMINATOR OF THE RATIONAL EXPRESSION REPRESENTS THE TOTAL GALLONS OF GASOLINE PURCHASED
The complete problem is:
Annabella spends $2.25 per gallon on gas at the gas station. After driving a certain distance, she stops at a second gas station and spends $2.15 per gallon on gasoline.
Annabella can express her average cost per gallon of gasoline as [tex]y = \frac{(2.25x + 2.15(x+5))}{2x+5}[/tex]
What is the meaning of the parts of this rational expression in the context of the situation?
THE NUMERATOR OF THE RATIONAL EXPRESSION REPRESENTS THE __________.
(select one)
1. total cost of the gasoline purchased
2. total number of gallons of gasoline purchased
3. cost per gallon of gasoline
THE DENOMINATOR OF THE RATIONAL EXPRESSION REPRESENTS THE ________.
1. total cost of the gasoline purchased
2. total number of gallons of gasoline purchased
3. cost per gallon of gasoline
So, in this context and based on the given data, the numerator of the expression is referring to the total cost of gasoline purchased, and the denominator is expressing the total gallons of gasoline purchased.
You can deduct this because, the numerator contains the amounts of costs per gallon, being x gallons. On the other hand, you can see in the denominator that there's no costs multiplying the variable, it's just a quantity which refers to the amount of gasoline, not the cost.
