what does it mean to solve for a variable when the solution is not a
number?

It might help you if you knew what  variable was.

A variable can be (x) or (y) or anything really it just a letter the represents a number.

In this case, when it says solve for a variable it means find what the variable equals. For example:

4x + 18 = 2

here you need to find the value of X.

x = -5

X equals negative 5 because you multiply the variable to the number:

4 x -5 = -20

-20 + 18 = 2

making the

4(-5) + 18 = 2

x = -5

(hope this helps)

95.03 is the answer. hope this !

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.