let x be the money she spent so that she can earn the free t-shirt.
since, she already spent $112.49
also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.
we have an inequality i.,e
subtract 112.49 from both sides we get;
therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt
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.
the answer is b
If Coach Jackson coaches, the...