Algebra 1 Final Exam Review

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What is the equation for the total cost of posters and plywood signs if posters cost $3 each and plywood signs cost $10 each?

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The equation is: 3x + 10y = 60, where x is the number of posters and y is the number of plywood signs.

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The coefficient -10 represents the acceleration due to gravity affecting the height of the ball.

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To find the total cost, substitute the value of x into the function. For example, for 8 hours: C(8) = 6.25(8) + 15 = $66.

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The value 4 represents the initial height of the ball before it starts bouncing.

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The variable x represents the number of hours the carpet cleaner is rented.

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The constant term (2) represents the initial height of the ball at time t=0.

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The slope (6.25) represents the cost per hour of renting the carpet cleaner.

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It indicates that the height of the ball decreases exponentially with each bounce.

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To find the maximum height, use the vertex formula t = -b/(2a), where a = -10 and b = 22.