Question
joaquin's car has a full tank of gas at the start of the trip. the graph shows the amount of gas in the tank , y, as a function of the distance traveled x
What is the initial value of the function
What is the initial value of the function
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Answered by
GPT-4o mini
The initial value of a function is the value of the dependent variable (in this case, the amount of gas \( y \)) when the independent variable (in this case, the distance traveled \( x \)) is equal to zero.
For Joaquin's car, if the graph starts with a full tank of gas at the beginning of the trip (when \( x = 0 \)), then the initial value \( y \) represents the amount of gas in the tank at that point.
If the problem states that the tank is full at the start, the initial value would be the total capacity of the gas tank in gallons or liters. You would need to check the graph to find the corresponding \( y \)-value when \( x = 0 \) to get the precise initial value.
If, for example, the gas tank is full at 15 gallons, then the initial value of the function would be:
\[ y(0) = 15 \text{ gallons} \]
Just refer to the graph at \( x = 0 \) to find the exact initial value.
For Joaquin's car, if the graph starts with a full tank of gas at the beginning of the trip (when \( x = 0 \)), then the initial value \( y \) represents the amount of gas in the tank at that point.
If the problem states that the tank is full at the start, the initial value would be the total capacity of the gas tank in gallons or liters. You would need to check the graph to find the corresponding \( y \)-value when \( x = 0 \) to get the precise initial value.
If, for example, the gas tank is full at 15 gallons, then the initial value of the function would be:
\[ y(0) = 15 \text{ gallons} \]
Just refer to the graph at \( x = 0 \) to find the exact initial value.
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