Jake has proved that a function, f(x), is a geometric sequence. How did he prove that? He showed that an explicit formula could be created. He showed that a recursive formula could be created. He showed that f(n) ÷ f(n − 1) was a constant ratio. He showed that f(n) − f(n − 1) was a constant difference.

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?

One cell phone plan charges $20 per month plus $0.15 per minute used. a second cell phone plan charges $35 per month plus $0.10 per minute used. write and solve an equation to find the number of minutes you must talk to have the same cost for both calling plans.

Suppose that a customer is purchasing a car. he conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. he conducts this experiment 15 times on each car and records the number of miles driven. full data set car 1 238238 216216 205205 212212 240240 274274 297297 252252 260260 247247 257257 243243 296296 243243 290290 car 2 245245 204204 215215 209209 251251 165165 221221 295295 172172 287287 268268 305305 320320 260260 297297 describe each data set, that is determine the shape, center, and spread. sample mean for car 1 x overbar equalsx=216216 mi / 10 gal (type an integer or decimal rounded to one decimal place as needed.) sample mean for car 2 x overbar equalsx=209209 mi / 10 gal (type an integer or decimal rounded to one decimal place as needed.)