joaquins car has a full tank of gas at the start of a trip. the graph shows the amount of gas in the tank…
joaquins car has a full tank of gas at the start of a 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?
Answer
Explanation:
Step1: Recall initial - value concept
The initial value of a function is the value of the function when the independent variable is 0.
Step2: Identify independent and dependent variables
In the context of the problem, the independent variable $x$ is the distance traveled and the dependent variable $y$ is the amount of gas in the tank.
Step3: Find the value of $y$ when $x = 0$
Looking at the graph, when $x=0$ (the start of the trip, i.e., no distance has been traveled yet), the value of $y$ is 10.
Answer:
10