"Question content area

Part $1$

Benson Racing is training a new pit crew for its racing team. For its first practice$$ run, the pit crew is able to complete all the tasks in exactly $55$ secondslong dashnot exactly$$ world$-$class. The second time$$ around, the crew shaves $13\mathrm{.}75$ seconds off its time"

Unit number $70\%$ learning $75\%$ learning $80\%$ learning $85\%$ learning $90\%$ learning

n Superscript bnb n Superscript bnb n Superscript bnb n Superscript bnb n Superscript bnb

$111111$

$20\mathrm{.}70\mathrm{.}750\mathrm{.}80\mathrm{.}850\mathrm{.}9$

$30\mathrm{.}5680\mathrm{.}6340\mathrm{.}7020\mathrm{.}7730\mathrm{.}846$

$40\mathrm{.}490\mathrm{.}5630\mathrm{.}640\mathrm{.}7230\mathrm{.}81$

$50\mathrm{.}4370\mathrm{.}5130\mathrm{.}5960\mathrm{.}6860\mathrm{.}783$

$60\mathrm{.}3980\mathrm{.}4750\mathrm{.}5620\mathrm{.}6570\mathrm{.}762$

$70\mathrm{.}3670\mathrm{.}4460\mathrm{.}5340\mathrm{.}6340\mathrm{.}744$

$80\mathrm{.}3430\mathrm{.}4220\mathrm{.}5120\mathrm{.}6140\mathrm{.}729$

$90\mathrm{.}3230\mathrm{.}4020\mathrm{.}4930\mathrm{.}5970\mathrm{.}716$

$100\mathrm{.}3060\mathrm{.}3850\mathrm{.}4770\mathrm{.}5830\mathrm{.}705$

$110\mathrm{.}2910\mathrm{.}370\mathrm{.}4620\mathrm{.}570\mathrm{.}695$

$120\mathrm{.}2780\mathrm{.}3570\mathrm{.}4490\mathrm{.}5580\mathrm{.}685$

$130\mathrm{.}2670\mathrm{.}3450\mathrm{.}4380\mathrm{.}5480\mathrm{.}677$

$140\mathrm{.}2570\mathrm{.}3340\mathrm{.}4280\mathrm{.}5390\mathrm{.}67$

$150\mathrm{.}2480\mathrm{.}3250\mathrm{.}4180\mathrm{.}530\mathrm{.}663$

$160\mathrm{.}240\mathrm{.}3160\mathrm{.}410\mathrm{.}5220\mathrm{.}656$

$170\mathrm{.}2330\mathrm{.}3090\mathrm{.}4020\mathrm{.}5150\mathrm{.}65$

$180\mathrm{.}2260\mathrm{.}3010\mathrm{.}3940\mathrm{.}5080\mathrm{.}644$

$190\mathrm{.}220\mathrm{.}2950\mathrm{.}3880\mathrm{.}5010\mathrm{.}639$

$200\mathrm{.}2140\mathrm{.}2880\mathrm{.}3810\mathrm{.}4950\mathrm{.}634$

$210\mathrm{.}2090\mathrm{.}2830\mathrm{.}3750\mathrm{.}490\mathrm{.}63$

$220\mathrm{.}2040\mathrm{.}2770\mathrm{.}370\mathrm{.}4840\mathrm{.}625$

$230\mathrm{.}1990\mathrm{.}2720\mathrm{.}3640\mathrm{.}4790\mathrm{.}621$

$240\mathrm{.}1950\mathrm{.}2670\mathrm{.}3590\mathrm{.}4750\mathrm{.}617$

$250\mathrm{.}1910\mathrm{.}2630\mathrm{.}3550\mathrm{.}470\mathrm{.}613$

$260\mathrm{.}1870\mathrm{.}2590\mathrm{.}350\mathrm{.}4660\mathrm{.}609$

$270\mathrm{.}1830\mathrm{.}2550\mathrm{.}3460\mathrm{.}4620\mathrm{.}606$

$280\mathrm{.}180\mathrm{.}2510\mathrm{.}3420\mathrm{.}4580\mathrm{.}603$

$290\mathrm{.}1770\mathrm{.}2470\mathrm{.}3380\mathrm{.}4540\mathrm{.}599$

$300\mathrm{.}1740\mathrm{.}2440\mathrm{.}3350\mathrm{.}450\mathrm{.}596$

$"$ The estimated learning rate for the pit crew is

$$

enter your response here$\%.($Enter your response as a whole$$ number.$)$

Part $3$

b$.$ Mark$$ Benson, owner of Benson$$ Racing, says that the pit crew must be able to complete all the tasks in less than $21\mathrm{.}34$ seconds in order to be competitive. Based on the answer to part$$ a$,$ how many times will the pit crew need to practice before it breaks the $21\mathrm{.}34-$second $$barrier$?$

Pit crew need to practice

$$

enter your response here times. $($Enter your response as a whole$$ number.$)$

Part $4$

c$.$ Is it realistic to expect the pit crew to experience learning improvements$$ indefinitely?

A$.$

$$Yes$,$ it is realistic to expect indefinite learning improvements because there are no other limitations on the time it takes to complete the task besides the knowledge of the pit crew.

B$.$

$$Yes$,$ it is realistic to expect indefinite learning improvements because learning curve theory suggests it$.$

C$.$

$$No$,$ it is not realistic to expect indefinite learning improvements because there are other limitations on the time it takes to complete the task besides the knowledge of the pit crew.

D$.$

It is impossible to give a definite answer."