Question

select the correct answer.
the product of two numbers, ( x ) and ( x + 3 ), is 550. which equation could be solved to find the value of the smaller number, ( x )?
a. ( x^2 + 3 = 550 )
b. ( x^2 + 3x = 550 )
c. ( 3x^2 = 550 )
d. ( 3x + 3 = 550 )

Explanation:

Step1: Understand the problem

We know that the product of two numbers, \( x \) and \( x + 3 \), is 550. So we need to write the equation for the product of \( x \) and \( x + 3 \) being equal to 550.

Step2: Write the product equation

The product of \( x \) and \( x + 3 \) is \( x(x + 3) \). Let's expand that: \( x(x + 3)=x^{2}+3x \). And this product is equal to 550, so the equation is \( x^{2}+3x = 550 \).

Answer:

B. \( x^{2}+3x = 550 \)