Weather balloons are filled with hydrogen and released at various sites to measure and transmit data about conditions such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.5 ft^3/s. Initially, the balloon has 4 ft^3 of hydrogen. Initially, the balloon has 2 ft^3 of hydrogen. Required:
a. Find a linear function V that models the volume of hydrogen in the balloon at any time t.
b. If the balloon has a capacity of 15 ft^3, how long does it take to completely fill the balloon?

a) The linear function that models the volume of hydrogen in the balloon at any time is .

b) 26 seconds are needed to completely fill the balloon.

Step-by-step explanation:

The statement has a mistake, the correct form is described below:

Weather balloons are filled with hydrogen and released at various sites to measure and transmit data about conditions such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of . Initially, the balloon has of hydrogen.

a) The volume of weather balloons is increasing linearly in time (), in seconds, since the rate of change of volume (), in cubic feet per second, is stable. The linear function of the volume of the weather balloon in terms of time is:

(1)

Where:

- Current volume, in cubic feet.

- Initial volume, in cubic feet.

If we know that and , then the volume as a function of time is:

b) If we know that and , then the time taken to fill the balloon is:

26 seconds are needed to completely fill the balloon.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

cool stunts are flippin i think

sitting on a chair

and using stick feet