Which line having the given slope and passing through the given point represents a direct variation?

,

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case A) For   point

The linear direct variation equation is equal to

For

substitute the value of x and the value of y in the equation and then compare the result

------> is true

therefore

This line represent a direct variation

case B) For   point

The linear direct variation equation is equal to

For

substitute the value of x and the value of y in the equation and then compare the result

------> is not true

therefore

This line not represent a direct variation

case C) For   point

The linear direct variation equation is equal to

For

substitute the value of x and the value of y in the equation and then compare the result

------> is not true

therefore

This line not represent a direct variation

case D) For   point

The linear direct variation equation is equal to

For

substitute the value of x and the value of y in the equation and then compare the result

------> is not true

therefore

This line not represent a direct variation

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: