Let's break down the problem step-by-step to find which equation correctly represents the relationship:
1. Current Car Price: Ms. Banerjee bought a current car for $22,500.
2. Relation between Current Car and Previous Car Prices: The amount she paid for her new car was twice the amount she paid for her previous car.
Let [tex]\( p \)[/tex] be the price she paid for her previous car.
3. Formulating the Equation: According to the given condition, the price of the new car is twice the price of the previous car. This can be written mathematically as:
[tex]\[ \text{price of current car} = 2 \times \text{price of previous car} \][/tex]
4. Inserting the Values: Now, substitute [tex]\( 22,500 \)[/tex] for the current car price:
[tex]\[ 22,500 = 2 \times p \][/tex]
This equation shows the relationship between the price of the new car and the previous car. Rewriting this in a simple form, we get:
[tex]\[ 22500 = 2p \][/tex]
Thus, the correct equation that shows [tex]\( p \)[/tex], the price in dollars that Ms. Banerjee paid for her previous car, is:
[tex]\[ 22,500 = 2p \][/tex]
None of the provided options directly match this correct equation.
