In 1987, 34.7 million households owned a dog, and 27.7 million owned a cat. since then, dog ownership has decreased by 0.025 million households per year, and cat ownership has increased by 0.37 million households per year. how many years, y, will it take for them to be equal?

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.