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Eliana drove her car
81km and used 9 liters of fuel. She wants to know how many kilometers
(x) she can drive on 22 liters of fuel. She assumes her car will continue consuming fuel at the same rate.
How far can Eliana drive on 22 liters of fuel?

km

Eliana drove her car $81 \mathrm{~km}$ and used $9$ liters of fuel. She wants to know how many kilometers $(x)$ she can drive on $22$ liters of fuel. She assumes her car will continue consuming fuel at the same rate. $\newline$ How far can Eliana drive on $22$ liters of fuel? $\newline$ $\mathrm{km}$

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Pythagorean theorem

Full solution

Q. Eliana drove her car

81 \mathrm{~km}

and used

9

liters of fuel. She wants to know how many kilometers

(x)

she can drive on

22

liters of fuel. She assumes her car will continue consuming fuel at the same rate.

\newline

How far can Eliana drive on

22

liters of fuel?

\newline

\mathrm{km}

Calculate Fuel Consumption Rate: First, we need to determine the fuel consumption rate of Eliana's car. We do this by dividing the distance driven by the amount of fuel used. In this case, Eliana drove $81$ kilometers using $9$ liters of fuel. So, the fuel consumption rate is $\frac{81 \, \text{km}}{9 \, \text{liters}}$ .
Find Distance on $22$ Liters: Performing the division to find the fuel consumption rate, we get $81 \, \text{km} \div 9 \, \text{liters} = 9 \, \text{km per liter}$ . This means Eliana's car can travel $9$ kilometers on one liter of fuel.
Calculate Total Distance: Now that we know the car's fuel consumption rate, we can calculate how far Eliana can drive on $22$ liters of fuel. We do this by multiplying the fuel consumption rate ( $9$ km per liter) by the amount of fuel ( $22$ liters).
Calculate Total Distance: Now that we know the car's fuel consumption rate, we can calculate how far Eliana can drive on $22$ liters of fuel. We do this by multiplying the fuel consumption rate ( $9$ km per liter) by the amount of fuel ( $22$ liters).Multiplying the fuel consumption rate by the amount of fuel gives us the distance Eliana can drive on $22$ liters. So, $9$ km/liter $\times$ $22$ liters $= 198$ kilometers.

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