The price of a dozen eggs was $1.63. Suppose the price increases m dollars per dozen and then the price decreases $0.12 per dozen. Which expression represents the current price of eggs after the two price changes?
Responses
A m + 0.51m + 0.51
B m + 1.51m + 1.51
C m + 1.63m + 1.63
D m + 1.75m + 1.75
E m + 2.83
Let's break down the problem step by step:
1. The current price of a dozen eggs is $1.63.
2. The price increases m dollars per dozen. This means the new price after the increase is $1.63 + m.
3. The price then decreases $0.12 per dozen. This means the final price after the decrease is $1.63 + m - 0.12.
Combining these steps, the expression for the current price of eggs after the two price changes is:
$1.63 + m - 0.12
This simplifies to:
$1.51 + m
The corresponding option is B: m + 1.51m + 1.51.