Betty is looking at a map. On the map, the scale reveals that 1 inch is equal to 5.6 miles. On the map she measures, in inches, the distance from her cabin to the lake. The distance on the map is 3 inches. Which equation can Betty use to determine d, the distance in miles, of the lake from her cabin?

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)

How do the number line graphs of the solutions sets of -23 > x and x-23 differ?

If t8 = 4 and t12 = −2, find the first three terms of the arithmetic sequence.