Question

Devora tested two engines. As each engine's rotation got faster, its temperature increased at a constant rate.

The first engine's temperature (in degrees Celsius) as a function of its rotation speed (in cycles per second) is given by the following table of values:

The Table is for the first engine below
For the second engine, the graph is below

The temperature of which engine increased more for each increase of 1 cycles per second?

Choose 1 answer:


(Choice A)

A

The first engine


(Choice B)

B

The second engine


(Choice C)

C

The temperatures of both engines increased the same


Which engine was hotter when it rotated at 20 cycles per second?

Choose 1 answer:


(Choice A)

A

The first engine


(Choice B)

B

The second engine


(Choice C)

C

Both engines were equally hot

Answer 1

To compare the rates of temperature increase for the two engines, you can look at the slopes of their temperature vs. rotation speed graphs. To determine which engine was hotter at a rotation speed of 20 cycles per second, you can compare the corresponding temperature values on the graphs.

Step-by-step explanation:

The question asks which engine's temperature increases more for each increase of 1 cycle per second. To determine this, we need to compare the rates of change of temperature for both engines. The rate of change of temperature for the first engine can be determined by finding the slope of the temperature vs. rotation speed graph. From the graph, it can be seen that the slope of the line connecting two points on the graph represents the rate of change of temperature per unit increase in rotation speed. By comparing the slopes of the two graphs, we can determine which engine's temperature increases more for each increase of 1 cycle per second.

To determine which engine was hotter when it rotated at 20 cycles per second, we can look at the corresponding temperature values on the graph. By finding the temperature value for each engine when the rotation speed is 20 cycles per second, we can compare the two temperatures to determine which engine was hotter.

Answer 2

The answer to number 1 is B.

The answer to number 2 is B.

Step-by-step explanation:

I did the lesson on khan academy.