Answered

Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

Select the choice that translates the following verbal phrase correctly to algebra:

The product of 12 and [tex]\( y \)[/tex] increased by 11.

A. [tex]\( 12(y + 11) \)[/tex]

B. [tex]\( 12y + 11 \)[/tex]

C. [tex]\( 12 + 11y \)[/tex]

D. [tex]\( 12(11y) \)[/tex]

Sagot :

GinnyAnsweridn
To translate the verbal phrase "the product of 12 and [tex]\( y \)[/tex] increased by 11" into algebra, let's follow a step-by-step approach:

1. Identify the Product: The product of 12 and [tex]\( y \)[/tex] can be written as [tex]\( 12y \)[/tex].

2. Increase by 11: To increase this product by 11, we add 11 to the product. Therefore, we have [tex]\( 12y + 11 \)[/tex].

Now, let's examine each choice:

- [tex]\( 12(y + 11) \)[/tex]: This expression translates to 12 times the sum of [tex]\( y \)[/tex] and 11, which expands to [tex]\( 12y + 132 \)[/tex]. This is not the correct translation.
- [tex]\( 12y + 11 \)[/tex]: This expression matches our translation of the product of 12 and [tex]\( y \)[/tex] increased by 11.
- [tex]\( 12 + 11y \)[/tex]: This expression translates to adding 12 to 11 times [tex]\( y \)[/tex]. This is not the correct translation.
- [tex]\( 12(11y) \)[/tex]: This expression translates to 12 times 11 times [tex]\( y \)[/tex], which simplifies to [tex]\( 132y \)[/tex]. This is not the correct translation.

Therefore, the correct algebraic translation of "the product of 12 and [tex]\( y \)[/tex] increased by 11" is [tex]\( 12y + 11 \)[/tex].

The correct choice is:

[tex]\[ 12y + 11 \][/tex]
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.