Question

Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?

The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.

Answer 1

The correct description of the values of \(x\) and \(y\) in the given scenario is:

**The values of both \(x\) and \(y\) will be real numbers greater than or equal to 0.**

Here's the reasoning:

- \(x\), representing the number of pounds of peaches bought, cannot be negative since you cannot buy a negative amount of peaches. Therefore, \(x \geq 0\).

- The total cost \(y\) is calculated as \(y = 2x\). Since \(x\) is non-negative, this means \(y\) will also be non-negative because \(y\) is the product of a positive number (2) and a non-negative number (\(x\)). Thus, \(y \geq 0\).

So both \(x\) and \(y\) must be real numbers greater than or equal to 0.