31. During the 4-hour dinner rush, Ty fried the number of foods represented by this expression: 4(2k+2) Use the distributive property to write an equivalent expression.

## Step 1<br />The problem involves the use of the distributive property in algebra. The distributive property is a property of real numbers that states that the product of a number and the sum of two other numbers is equal to the sum of the products of the number and each of the other two numbers. In mathematical terms, this is represented as:<br />### \(a(b + c) = ab + ac\)<br /><br />## Step 2<br />In the given expression \(4(2k+2)\), we apply the distributive property. This means we multiply the number outside the parentheses (which is 4 in this case) by each term inside the parentheses (which are \(2k\) and \(2\)).<br /><br />## Step 3<br />So, we multiply 4 by \(2k\) to get \(8k\), and 4 by 2 to get 8.<br /><br />## Step 4<br />Therefore, the equivalent expression after applying the distributive property is \(8k + 8\).