Write a situation that describes the inequality: 12x – 14 < 200

For this case we must write a situation for the following inequality:

Andres needs less than $200 to go on vacation. It is known that in his work he earns $12 per hour, he must also pay a debt of $14. We want to know how many days he gets less than $200. Assuming Andres works 8 hours a day.

x: Variable that represents the number of hours Andres works

Thus, Andres must work less than 17.83 hours for his trip.

Therefore, it requires three work days.

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.