Sarah and James are selling popcorn and cotton candy at the State Fair. James sold 8 bags of popcorn and 5 sticks of cotton candy for a total of $67. Sara sold 3 bags of popcorn and 9 sticks of cotton candy for a total of $8 more than James. How much is the cost of the popcorn?

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)

Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?

Let f of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. use your calculator to find f″(1).