The US in not building many nuclear plants, but the ones it has are running at nearly full capacity. the output (as a percent of total capacity) of nuclear plants is described by the equation y=1.9467t+70.082. where t is measured in years, with y=0 corresponding to the beginning of 1990. a) sketch the line with the given equation b) what are the slopes and the y-intercept of the line found in part (a) c) give an interpretation of the slope and the y-intercept of the line found in part (a). d) if the utilization of nuclear power continues to grow at the same rate and the total capacity of nuclear plants in the US remains constant, by what year can the plants be expected to be generating maximum capacity?