Joshua loves to go to the arcade. Every time he goes, he spends $8. Joshua’s dad wants him to save more than $50 by the end of each month. Joshua starts the month with $82 and goes to the arcade t times. Which inequality represents this situation? What is the most amount of times Joshua can go to the arcade and still save enough money? *

practice. practice. practice.

the correct answer is x/3+10≥32

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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.