Question

Peaches are being sold for $2 per pound. 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 can be any real number, but the value of y will always be a real number greater than or equal to 0. 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 values of both x and y will be real numbers greater than or equal to 0

Answer 2

The statement that best describes the values of x and y is:

• The values of both x and y will be real numbers greater than or equal to 0.

Explanation:

If x represents the number of pounds of peaches bought and y represents the total cost of the peaches.

Now, it is given that:

Peaches are being sold for $2 per pound.

i.e. the expression for x and y is given by:

`y=2x`

Now, we know that:

x ≥ 0

Since, the number of pounds of peaches sold can't be negative either there will be no peaches sold(i.e. x=0) or some quantity of peaches will be sold(i.e. x>0)

Also,

If x≥0

then 2x≥0

i.e. y≥0

Hence, we get that both x and y must be a real number greater than or equal to 0.