Two video rental clubs offer two different rental fee plans. club a charges $12 for membership and $2 for each rented video. club b charges $4 for membership fee and charges $4 for each rented video. which video rental club is the better deal and why?

Club A

EXPLANATION

Given,

Club A charges $12 for membership and $2 for each rented video.

The deal in Club A can be represented by the function, f(x) = 12 + 2x

Club B charges $4 for membership fee and charges $4 for each rented video.

The deal in Club B can be represented by the function, f(x) = 4 + 4x

To determine which video rental club is the better deal

First, we find the number of videos where the amount spent will be the same

That is, when 4 + 4x = 12 + 2x

Subtract 4 from both sides of the equation

4 + 4x – 4 = 12 + 2x – 4

4x = 8 + 2x

Subtract 2x from both sides of the equation

4x – 2x = 8 + 2x – 2x

2x = 8

Divide both sides by 2

2x/2 = 8/2

x = 4

Since the deals for club B and club B will be of equal expense by the time a total of 4 videos have been rented, the better deal is the one that is cheaper when more than 4 videos have been rented.

Take a random value of x that is greater than 4, say 6

For the deal in Club A, f(x) = 12 + 2x

= 12 + 2(6)

= 12 + 12

= $24

For the deal in Club A, f(x) = 4 + 4x

= 4 + 4(6)

= 4 + 24

= $28

Since the deal in Club A is cheaper on the long run (i.e for 5 videos and above), it is a better deal than that of Club B

nothjing

step-by-step explanation:

"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: