The distance s that an object falls varies directly with the square of the time t of the fall. If an object falls 16 ft in one second, determine the constant of variation k in the equation of
variation 2s kt= , and complete the following table of values for the distance s that an object
falls for different times t of the fall.
Table:
Time t distance s
1 seconds
2 seconds
3 seconds
4 seconds

which  best  describes the transformation from the graph of  f(x) =  x2  to the graph of  f(x) = (x  – 3)2  – 1?   left 3 units, down 1 unitleft 3 units, up 1 unitright 3 units, down 1 unit  right 3 units, up 1 unit

Martha needs 22.25 strawberries for every 5 smoothies she makes. complete the table to see how many strawberries she would need to make 10 smoothies and 20 smoothies.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.