A mountain climber recorder attitude at the surrounding temperature at various points as she sends a mountain. She then plus the points on a scatter plot and draws a line of best fit. The equation of the line is why equals -3.6 X +59, where ex is the altitude and thousands of feet and why is the temperature in degrees Fahrenheit. What does the slope of the equation represent in this scenario?

A mountain climber recorder attitude at the surrounding temperature at various points as she sends a mountain. She then plus the points on a scatter plot and draws a line of best fit. The equation of the line is why equals -3.6x +59, where x is the altitude and thousands of feet and y is the temperature in degrees Fahrenheit. What does the slope of the equation represent in this scenario?

The slope of the equation in this scenario = m = -3.6

Step-by-step explanation:

The equation of a line is expressed as y = mx+b where

m is the slope

b is the y-intercept.

In the above question:

We have Equation

y = -3.6x +59,

Comparing both equations

y = mx+b, y = -3.6x +59

The slope of the equation which is m = -3.6

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

i believe a. 12x≥120 is the answer