The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 30 seconds with an average speed of 5 feet per second. Find the average speed of the swimmer if it takes 25 seconds to finish the race.

Q: The number of days that a given number of bushels of corn will last when feeding cattle varies…

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Q: The distance that an object falls varies directly as the square of the time the object is in motion.…

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Q: A motorboat traveling with the current went 140 mi in 5 h. Traveling against the current, it took 7…

A: To determine the speed of current and speed of boat.

Q: A missile flies 40 miles in 20 minutes. Calculate the missile’s rate of change

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Q: The length of a violin string varies inversely as the frequency of its vibrations. A violin string 8…

A: Given length of a violin string varies inversely as the frequency of its vibrations. f=k·1l, where f…

Q: An airplane has a length of 256 feet and a wingspan of 295 feet. A toy model airplane was designed…

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Q: The weight of a body varies inversely as the square of its distance from the center of a planet. If…

A: The weight of a body varies inversely as the square of its distance from the center of a planet.If…

Q: It took a salmon 45 seconds to swim upstream to a certain spot. The salmon then turned around to…

A: To find speed of salmon

Q: how long will it take her if she travels 64 miles per hour

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Q: The time required for a crew of men to do a job is inversely proportional to the product of the…

A: Let the number of men be denoted by MLet the number of work hours each day be denoted by WLet T…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.