Suppose the sales of a particular brand of appliance satisfy the relationship y=80x + 5700, where y represent the number of sales in year x, with x=0 corresponding to 1982. Find the number of sales in 1989

439400

step-by-step explanation:

130^2 = 16900

16900*26 = 439400

because they could drop even lower..

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.