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Mr. Peabody has to take a taxi from the cheese shop. The fare is $0.90 for the first 1/2 km, and 0.12 for each additional 1/8 km.

Ahow far is his home from the shopping he spent $2.82?
Bhow much would his taxi cost for a 2 km trip? A 4 km trip? A 6 km trip? An 8 km trip? Is there a pattern to help u figure out the answer? Describe any patterns u see as a result of your calculations

Verified Answer :

Since3122015

\(\frac{2.82-.9}{.12}*\frac{1}{8}+\frac{1}{2}\\\frac{1.92}{.12}*\frac{1}{8}+\frac{1}{2}\\16*\frac{1}{8}+\frac{1}{2}\\2+\frac{1}{2}\\2.5\)

a. 2.5 kilometers.

\(y=0.12*8x+(0.90-\frac{\frac{1}{2}}{\frac{1}{8}}*0.12)\\y=0.96x+(0.9-4*0.12)\\y=0.96x+(0.9-0.48)\\y=0.96x+0.42\)

\(y=0.96(2)+0.42=1.92+0.42=2.34\\y=0.96(4)+0.42=3.84+0.42=4.26\\y=0.96(6)+0.42=5.76+0.42=6.18\\y=0.96(8)+0.42=7.68+0.42=8.10\)

$2.34; $4.26; $6.18; $8.10; yes; y=0.96x+0.42

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