Question 1(Multiple Choice Worth 4 points) (02.05 MC)

Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.

Graph of two lines. f of x passes through 1, 2 and 2, 5, and g of x passes through one half, 2 and 1, 5.

−2
negative one half
one half
2

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

The diameter of a bacteria colony that doubles every hour is represented by the graph below. what is the diameter of the bacteria after 8 hours? graph of a curve passing through the points zero comma 1, one comma two, two comma four, and three comma eight

Arectangular lawn is 65 m long and 34 m wide. over time, people have walked along a diagonal as a shortcut and have created a straight path. what is the length of the path, to the nearest tenth of a meter? enter your answer as a deicmal in the box. m