Question

Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}1492​ km14, start fraction, 2, divided by, 9, end fraction, start text, space, k, m, end texttaxi ride.

Answer 1

Answer:

$2.25

Step-by-step explanation:

If Emmanuel was charged $32 for a $14\frac{2}{9} km$ taxi ride.

We are to determine how much Emmanuel was charged for each kilometer of the taxi ride.

If a $14\frac{2}{9} km$ taxi ride costs $32.

Then: 1 km will cost  $$(32 \div 14\frac{2}{9} )$

Let us simplify the division.

$32 \div 14\frac{2}{9} = 32 \div \frac{128}{9}$

Next we change the division sign to multiplication by taking the inverse of $\frac{128}{9}\\\\32 \div \frac{128}{9} = 32 X \frac{9}{128}\\\\=\frac{32 X 9}{128} = \frac{288}{128} \\\\=2\frac{1}{4} =2.25$

From our calculations, 1 km taxi ride will cost Emmanuel $2.25.