Wake County has a special emergency rescue team. The team is practicing rescuing dummies from a smokefilled building. The first$$ time, the team took $300300$ seconds $(55$minutes$).$ The second$$ time, it took $225225$ seconds $(3\mathrm{.}83\mathrm{.}8$minutes$).$

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

$1$

$1\mathrm{.}000$

$1\mathrm{.}000$

$1\mathrm{.}000$

$1\mathrm{.}000$

$1\mathrm{.}000$

$2$

$0\mathrm{.}700$

$0\mathrm{.}750$

$0\mathrm{.}8$

$0\mathrm{.}850$

$0\mathrm{.}900$

$3$

$0\mathrm{.}568$

$0\mathrm{.}634$

$0\mathrm{.}702$

$0\mathrm{.}773$

$0\mathrm{.}846$

$4$

$0\mathrm{.}490$

$0\mathrm{.}563$

$0\mathrm{.}640$

$0\mathrm{.}723$

$0\mathrm{.}810$

$5$

$0\mathrm{.}437$

$0\mathrm{.}513$

$0\mathrm{.}596$

$0\mathrm{.}686$

$0\mathrm{.}783$

$6$

$0\mathrm{.}398$

$0\mathrm{.}475$

$0\mathrm{.}562$

$0\mathrm{.}657$

$0\mathrm{.}762$

$7$

$0\mathrm{.}367$

$0\mathrm{.}446$

$0\mathrm{.}534$

$0\mathrm{.}634$

$0\mathrm{.}744$

$8$

$0\mathrm{.}343$

$0\mathrm{.}422$

$0\mathrm{.}512$

$0\mathrm{.}614$

$0\mathrm{.}729$

$9$

$0\mathrm{.}323$

$0\mathrm{.}402$

$0\mathrm{.}493$

$0\mathrm{.}597$

$0\mathrm{.}716$

$10$

$0\mathrm{.}306$

$0\mathrm{.}385$

$0\mathrm{.}477$

$0\mathrm{.}583$

$0\mathrm{.}705$

$11$

$0\mathrm{.}291$

$0\mathrm{.}370$

$0\mathrm{.}462$

$0\mathrm{.}570$

$0\mathrm{.}695$

$12$

$0\mathrm{.}278$

$0\mathrm{.}357$

$0\mathrm{.}449$

$0\mathrm{.}558$

$0\mathrm{.}685$

$13$

$0\mathrm{.}267$

$0\mathrm{.}345$

$0\mathrm{.}438$

$0\mathrm{.}548$

$0\mathrm{.}677$

$14$

$0\mathrm{.}257$

$0\mathrm{.}334$

$0\mathrm{.}428$

$0\mathrm{.}539$

$0\mathrm{.}670$

$15$

$0\mathrm{.}248$

$0\mathrm{.}325$

$0\mathrm{.}418$

$0\mathrm{.}530$

$0\mathrm{.}663$

$16$

$0\mathrm{.}240$

$0\mathrm{.}316$

$0\mathrm{.}410$

$0\mathrm{.}522$

$0\mathrm{.}656$

$17$

$0\mathrm{.}233$

$0\mathrm{.}309$

$0\mathrm{.}402$

$0\mathrm{.}515$

$0\mathrm{.}650$

$18$

$0\mathrm{.}226$

$0\mathrm{.}301$

$0\mathrm{.}394$

$0\mathrm{.}508$

$0\mathrm{.}644$

$19$

$0\mathrm{.}220$

$0\mathrm{.}295$

$0\mathrm{.}388$

$0\mathrm{.}501$

$0\mathrm{.}639$

$20$

$0\mathrm{.}214$

$0\mathrm{.}288$

$0\mathrm{.}381$

$0\mathrm{.}495$

$0\mathrm{.}634$

$21$

$0\mathrm{.}209$

$0\mathrm{.}283$

$0\mathrm{.}375$

$0\mathrm{.}490$

$0\mathrm{.}630$

$22$

$0\mathrm{.}204$

$0\mathrm{.}277$

$0\mathrm{.}370$

$0\mathrm{.}484$

$0\mathrm{.}625$

$23$

$0\mathrm{.}199$

$0\mathrm{.}272$

$0\mathrm{.}364$

$0\mathrm{.}479$

$0\mathrm{.}621$

$24$

$0\mathrm{.}195$

$0\mathrm{.}267$

$0\mathrm{.}359$

$0\mathrm{.}475$

$0\mathrm{.}617$

$25$

$0\mathrm{.}191$

$0\mathrm{.}263$

$0\mathrm{.}355$

$0\mathrm{.}470$

$0\mathrm{.}613$

$26$

$0\mathrm{.}187$

$0\mathrm{.}259$

$0\mathrm{.}350$

$0\mathrm{.}466$

$0\mathrm{.}609$

$27$

$0\mathrm{.}183$

$0\mathrm{.}255$

$0\mathrm{.}346$

$0\mathrm{.}462$

$0\mathrm{.}606$

$28$

$0\mathrm{.}180$

$0\mathrm{.}251$

$0\mathrm{.}342$

$0\mathrm{.}458$

$0\mathrm{.}603$

$29$

$0\mathrm{.}177$

$0\mathrm{.}247$

$0\mathrm{.}338$

$0\mathrm{.}454$

$0\mathrm{.}599$

$30$

$0\mathrm{.}174$

$0\mathrm{.}244$

$0\mathrm{.}335$

$0\mathrm{.}450$

$0\mathrm{.}596$

a$.$ The estimated learning rate is $7575\%.($Enter your response as a whole$$ number.$)$

Part $3$

b$.$ Suppose that the$$ team's learning rate for the rescue exercise is $7575\%.$

The team needs to repeat the exercise enter your response here times until its time is less than $116\mathrm{.}1116\mathrm{.}1$ seconds. $($Enter your response as a whole$$ number.$)$