Jessica has been tracking the population of a town. the population was 8,230 last year and has been increasing by 1.25 times each year. how can jessica develop a function to model this?

f(x) = (8230 ⋅ 1.25)x where 1.25 is the rate of growth

f(x) = 8230(1.25)x where 1.25 is the rate of growth

f(x) = 1.25(8230)x where 8230 is the rate of growth

f(x) = 8230(x)1.25 where 8230 is the rate of growth

You and a friend race across a field to a fence and back. your friend has a 50-meter head start. the equations shown represent you and your friend's distances dd (in meters) from the fence tt seconds after the race begins. find the time at which you catch up to your friend. you: d=∣−5t+100∣d=∣−5t+100∣ your friend: d=∣−313t+50∣∣

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Let f(x) = x+3 and g(x) = 1/x the graph of (fog)(x) is shown below what is the range of (fog)(x)?