The table shows the values of f(x) for certain values of x. 24
190 350
32
40
55
65
90
440
1,150
Based on the table, how much greater is the average rate of change of f(x) from x 40 to x + 65 than the average rate of change of f(x) from x 24 to x = 40?

The ratio of the height of two similar cylinders is 4 to 3 what is the ratio of their volumes

Jon’s weight loss for each week of the month is 5 lbs., 2.5 lbs., and 2.5 lbs. he gained 3.5 lbs. the last week. if jon originally weighed 198 lbs., how much does he weigh now?

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.