At Andy's Market, the price of a box of brand-name cereal is 1.5 times the price of a box of generic cereal. If the price of a box of brand-name cereal is $3.60, which of the following can be used to determine x, the price of a box of generic cereal in dollars?
Q. At Andy's Market, the price of a box of brand-name cereal is 1.5 times the price of a box of generic cereal. If the price of a box of brand-name cereal is $3.60, which of the following can be used to determine x, the price of a box of generic cereal in dollars?
Set Up Equation: To find the price of the generic cereal, we need to set up an equation where the price of the brand-name cereal (3.60)isequalto1.5timesthepriceofthegenericcereal(x$).
Represent Relationship: The equation to represent this relationship is: \(1.5 \times x = \$(3.60)\).
Isolate Variable: To solve for \(x\), we need to divide both sides of the equation by \(1.5\) to isolate \(x\).
Calculate Price: Dividing \(\$3.60\) by \(1.5\) gives us the price of the generic cereal: \(x = \$3.60 / 1.5\).
Final Result: Performing the division, we get \(x = \$2.40\).