Mathematics: The total number of inches r(t) of rain during a storm of length t hours can be approximated by r(t) = at t + b , where a and b are positive constants that depend on the geographical locale. (a) discuss the variation of r(t) as t → ∞.

The total number of inches r(t) of rain during

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hannahkharel2

11.01.2023

Step-by-step explanation:

Let x represent number of times robot will correctly solve the puzzle.

We have been given that the robot solves a Rubik's cube in an average of 20 moves. But it's correct only 60% of the time. We are asked to find the number of times robot will correctly solve the puzzle in 125 attempts.

We will use proportions to solve our given problem as ratio between two proportion quantities is same.

Let us find 60% of 20.

$20\cdot \frac{60}{100}=12$

$\frac{\text{Correct number of puzzles}}{\text{Number of moves}}=\frac{12}{20}$

$\frac{x}{125}=\frac{12}{20}$

$\frac{x}{125}\cdot 125=\frac{12}{20}\cdot 125$

$x=0.6\cdot 125$

x=75

Therefore, the robot will solve 75 puzzles.

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The total number of inches r(t) of rain during a storm of length t hours can be approximated by r(t) = at t + b , where a and b are positive constants that depend on the geographical locale. (a) discuss the variation of r(t) as t → ∞.

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