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A non-impact workout can burn up to 7.5 calories per minute. the equation to represent how many calories a person burns after m minutes of the workout is C(m)=7.5m. identify the transformation in the function. then graph the function.

A) Vertical stretch
B) Horizontal compression
C) Horizontal stretch
D) Vertical compression

User JVS
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1 Answer

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Final answer:

The equation C(m) = 7.5m does not involve any transformation; it is a straight line indicating that 7.5 calories are burned per minute of workout. To graph it, one would plot points starting from the origin and rising at a rate of 7.5 calories per minute.

Step-by-step explanation:

The equation C(m) = 7.5m represents the calories burned after m minutes of a non-impact workout. The function shows that the number of calories burned is directly proportional to the number of minutes spent exercising. There is no transformation such as vertical stretch, horizontal compression, horizontal stretch, or vertical compression. This is simply a linear function that starts at the origin (0,0) and increases at a constant rate.

To graph this function, you would plot an initial point at the origin and then use the slope, or the rate at which calories are burned, which is 7.5 calories per minute, to plot another point. For instance, after 1 minute (m = 1), C(1) = 7.5 * 1 = 7.5. You would plot a second point at (1, 7.5) and then draw a straight line through these points, extending indefinitely in the positive direction along both axes.

User Lanan
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