Suppose that 650 lb of coffee are sold when the price is $4 per pound, and 400 lb are sold at $8 per pound.
a. list the data points (use price as the independent variable)

b. find the slope of the line joining the point

c. interpret the meaning of the slope in the context of this problem.

d. use the point-slope form to write a linear equation for this data. write the answer in a function notation.

e. use this function to predict how much consumer would be willing to buy at a price of $6 per pound​

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3