A yellow hot-air balloon is 100 feet off the ground and rising at a rate of 8 feet per second. An orange hot-air balloon is 160 feet off the ground and rising at a rate of 5 feet per second. After how long will the yellow balloon be higher than the orange balloon?

Part a: explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 8x+4 intersect are the solutions of the equation 2−x = 8x+4. (4 points) part b: make tables to find the solution to 2−x = 8x+4. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 2−x = 8x+4 graphically? (2 points)