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Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k) she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional. How many kilometers can Pamela drive with 12 liters of fuel? km

Pamela drove her car 9999 kilometers and used 99 liters of fuel. She wants to know how many kilometers (k) (k) she can drive with 1212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.\newlineHow many kilometers can Pamela drive with 1212 liters of fuel?\newlinekm \mathrm{km}

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Q. Pamela drove her car 9999 kilometers and used 99 liters of fuel. She wants to know how many kilometers (k) (k) she can drive with 1212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.\newlineHow many kilometers can Pamela drive with 1212 liters of fuel?\newlinekm \mathrm{km}
  1. Establish values and relationship: Establish the known values and the relationship between kilometers and fuel.\newlinePamela drove 9999 kilometers using 99 liters of fuel. We assume a proportional relationship between kilometers driven and liters of fuel used.
  2. Set up proportion: Set up the proportion to find out how many kilometers kk Pamela can drive with 1212 liters of fuel.\newlineThe proportion is based on the known values: 9999 km for 99 liters is equal to kk km for 1212 liters.\newlineSo, we write the proportion as 999=k12\frac{99}{9} = \frac{k}{12}.
  3. Cross-multiply for kk: Cross-multiply to find the value of kk.99×12=9×k99 \times 12 = 9 \times k1188=9×k1188 = 9 \times k
  4. Solve for kk: Solve for kk by dividing both sides of the equation by 99.11889=(9⋅k)9\frac{1188}{9} = \frac{(9 \cdot k)}{9}132=k132 = k

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