Solve the problem. 41) Find the gasoline price index for 1985 using the 2000 price as the reference value. Use the table below.
(1985, 1196) (2000, 155.0)
(ISS. O
YEAR GASOLINE PRICE
(cents per gallon)
1955 29.1
1965 312
1975 56,7
1985 119.6
1995 120.5
2000 155.0
2010 2840
41)

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.

hm let me think hm think think hm think yes