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?

Question

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

Answer 1

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.