Final answer:
Without the visual graph, we cannot definitively determine the interval containing the local maximum. In physics, a car traveling twice as fast would alter the perceived frequency due to the Doppler effect, not directly related to the question. Only equations in the form y=mx+b are linear, hence the option with A and C is correct for linear equations.
Step-by-step explanation:
To determine which interval contains the local maximum for the graphed function, you would typically look at the graph to identify the highest point within a specific range. Since the graph is not visible here, we cannot directly identify the correct interval. However, in general, to find the local maximum of a function, you look for the interval where the function reaches its highest point before decreasing or the point on the graph where the function changes direction from increasing to decreasing, and this point should be within the given intervals.
The question about the perceived frequency for a car traveling twice as fast refers to the Doppler effect in Physics, where the perceived frequency increases when the source of the sound is moving toward an observer and decreases when it is moving away. If the car is traveling twice as fast, the peak frequency doubles where the car is closest to the observer and the minimum frequency is where the car is furthest from the observer.
In terms of linear equations, an equation is considered linear if it can be written in the form y = mx + b, where m and b are constants, and x and y are variables. Therefore, the linear equations among the given choices would be A and C, as they are both in the form y = mx + b.