which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and…

which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?\nspeed (miles per minute)\ntime (minutes)\nspeed (miles per minute)

which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?\nspeed (miles per minute)\ntime (minutes)\nspeed (miles per minute)

Answer

Explanation:

Step1: Analyze speed - increase

When the car is increasing its speed, the speed - time graph should have a positive slope. This means the line is going upwards as time (x - axis) increases and speed (y - axis) increases.

Step2: Analyze constant speed

When the car is traveling at a constant speed, the speed - time graph should be a horizontal line. This is because the speed value on the y - axis does not change as time on the x - axis increases.

Step3: Analyze speed - decrease

When the car is decreasing its speed, the speed - time graph should have a negative slope. This means the line is going downwards as time (x - axis) increases and speed (y - axis) decreases. The given graph with an upward - sloping line first, then a horizontal line, and then a downward - sloping line satisfies these conditions.

Answer:

The first graph (the one with an upward - sloping line initially, followed by a horizontal line, and then a downward - sloping line)