Question

Among all pairs of numbers whose difference is 14, find a pair whose product is as small as possible. What is the minimum product?

A. (-7, 7)
B. (-1, 15)
C. (0, 14)
D. (2, 16)

Answer 1

To find the pair of numbers with a difference of 14 and the minimum product, we use the formula for the product of two numbers. The pair of numbers that gives the minimum product is (-7, 7).

Step-by-step explanation:

To find a pair of numbers with a difference of 14 and a product as small as possible, we can use the formula for the product of two numbers: Product = (Sum/2)^2 - (Difference/2)^2. Plugging in the values, we get Product = (14/2)^2 - (14/2)^2 = 49. The pair of numbers that gives the minimum product is (-7, 7), so the correct answer is A. (-7, 7).