The population of Ocean City in 2010 was 1.5 million. In 2020, the population was 1 million. A neighboring city, Seaside, saw its population go from 520,000 in 2010 to 920,000 in 2020. If these population rates continue, in what year will the populations of each city be the same?

answer:

sometimes

*i think

answer: 177/8

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.