As the population of a circular city grows, its radius increases. Let r = f(p) be the radius of the city, in meters, when its population is p thousand people. Suppose that it is known that f(50) = 3400 and f'(50) = 33. (a) How do you give a complete sentence interpretation of the statement f(50) = 3400 in the context of this problem. (b) How do you give a complete sentence interpretation of the statement f'(50) = 33 in the context of this problem. (c) How do you use the given information to estimate the radius of the city when its population is 52.5 thousand. How do you show enough work so that your reasoning is clear, including units

Fran would like to estimate the mean amount of time it takes people in her town to travel to work. the town's population is 150,000 and about 90,000 of those are working adults. which statements are true? select each correct answer. there is no way to infer the value of the mean. she must collect data for all 90,000 working adults and calculate the mean. a larger sample of working adults will provide a better estimate of the true mean than a smaller sample. the population of working adults is too large for using a sample to estimate the mean of the entire group. if she takes a random sample of the population of working adults in her town, the mean for that group is likely close to the mean for the entire group.

Point a is located at (0, 4), and point c is located at (−3, 5). find the x value for the point b that is located one fourth the distance from point a to point c. −0.25 −0.5 −0.75 −1

Which table shows a proportional relationship between miles traveled and gas used?