Emanuel was charged $\$ 32$ for a $14 \frac{2}{9} \mathrm{~km}$ taxi ride. The cost per kilometer is constant.

What was the cost per kilometer?
$\$$ $\square$

Question

Emanuel was charged $\$ 32$ for a $14 \frac{2}{9} \mathrm{~km}$ taxi ride. The cost per kilometer is constant.

What was the cost per kilometer?
$\$$ $\square$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the cost per kilometer, we divide the total cost by the total distance. The total cost is $32 and the total distance is $14 \frac{2}{9} \mathrm{~km}$. ‖ ‖ step 2 ⋮ Convert the mixed number to an improper fraction: $14 \frac{2}{9} = \frac{126}{9} + \frac{2}{9} = \frac{128}{9}$. ‖ ‖ step 3 ⋮ Now divide the total cost by the distance in kilometers: $\frac{32}{\frac{128}{9}}$. ‖ ‖ step 4 ⋮ Simplify the division by multiplying by the reciprocal of the denominator: $32 imes \frac{9}{128}$. ‖ ‖ step 5 ⋮ Calculate the result: $32 imes \frac{9}{128} = \frac{288}{128}$. ‖ ‖ step 6 ⋮ Simplify the fraction: $\frac{288}{128} = \frac{9}{4}$. ‖ ‖ step 7 ⋮ Convert the improper fraction to a mixed number: $\frac{9}{4} = 2 \frac{1}{4}$. ‖ ∻Answer∻ ⚹ $2 \frac{1}{4}$ or $2.25$ per kilometer ⚹ ∻Key Concept∻ ⚹Cost per unit⚹ ∻Explanation∻ ⚹To find the cost per kilometer, divide the total cost by the total distance traveled.⚹◊What is the equation to calculate the cost per kilometer in this scenario?⍭ Generate me a similar question◊$

Sia