You build a cornhole game. The game is constructed from
a sheet of plywood supported by two boards. The two
boards form a right angle and their lengths are 12 inches
and 46.5 inches.
a. Find the length x of the plywood to the nearest inch.
b. You put in a support that is altitude y to the hypotenuse
of the right triangle. What is the length of the support?
Round your answer to the nearest tenth.
c. Where does the support attach to the plywood? Explain.

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months. the store owner converts the frequency table to a conditional relative frequency table by row. which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96