Holding Time of Athletes A group of tenathletes were tested for isometric enduranceby measuring the length of time they couldresist a load pulling on their legs whileseated. The approximate amount of time(called the holding time) that they couldresist the load was given by the formulat = 31,293w-1.5,where w is the weight of the load in poundsand the holding time t is measured in seconds.(Source: Townend, M. Stewart,Mathematics in Sport, Chichester, EllisHorwood Limited.)(a) Determine the holding time, to the nearest second, for a load of 25 lb.(b) When the weight of the load is doubled, by what factor is the holding timechanged?
Unitary Method
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Holding Time of Athletes A group of ten
athletes were tested for isometric endurance
by measuring the length of time they could
resist a load pulling on their legs while
seated. The approximate amount of time
(called the holding time) that they could
resist the load was given by the formula
t = 31,293w-1.5,
where w is the weight of the load in pounds
and the holding time t is measured in seconds.
(Source: Townend, M. Stewart,
Mathematics in Sport, Chichester, Ellis
Horwood Limited.)
(a) Determine the holding time, to the nearest second, for a load of 25 lb.
(b) When the weight of the load is doubled, by what factor is the holding time
changed?
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