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Scientists plan to release a space probe that will enter the atmosphere of a gaseous planet. The temperature of the gaseous planet varies linearly with the height of the atmosphere. The delicate instruments on board completely fail at a height of 61.5 kilometers. What is the approximate temperature at this altitude?

A. 200 K
B. 250 K
C. 300 K
D. 400 K
E. 450 K

Scientists plan to release a space probe that will enter the atmosphere of a gaseous planet The temperature of the gaseous planet varies linearly with the heigh class=


Answer :

Lanuel

The approximate temperature at a height of 61.5 kilometers is: E. 450 K

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = Δy/Δx

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Substituting the given points into the formula, we have;

Slope, m = (567 - 147.54)/(78.11 - 18.40)

Slope, m = 419.46/59.71

Slope, m = 7.025

Mathematically, the slope-intercept form of a straight line is given by;

y = mx + c

Where:

  • x and y are the points.
  • m represents the slope.
  • c represents the intercept.

At point (18.40, - 147.54), we have;

y = mx + c

147.54 = 7.025(18.40) + c

Intercept, c = 18.28.

Therefore, the slope-intercept form is as follows:

y = mx + c

y = 7.025x + 18.28

Now, we can determine approximate temperature at a height of 61.5 kilometers:

y = 7.025x + 18.28

y = 7.025(61.5) + 18.28

y = 450 K.

Read more on slope here: https://brainly.com/question/14345501

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