Question

When y=7 which of the expression below will be less than 150 select all that apply

A y*2 • 3
B 3(2y+5)+6(3y-14)
C 2y*2 + 6y + 15
D 8(y+5) • 2

Answer 1

[AI-generated answer — Bot GPT-4o]

To determine which expressions are less than 150 when \( y = 7 \), we'll substitute \( y = 7 \) into each expression and evaluate.

First, evaluate each expression:

**Expression A: \( y \times 2 \cdot 3 \)**
\[ 7 \times 2 \cdot 3 = 14 \cdot 3 = 42 \]
This value is less than 150.

**Expression B: \( 3(2y+5) + 6(3y-14) \)**
1. Substitute \( y = 7 \):
\[ 3(2 \cdot 7 + 5) + 6(3 \cdot 7 - 14) \]
2. Calculate within parentheses:
\[ 3(14 + 5) + 6(21 - 14) \]
3. Simplify further:
\[ 3 \cdot 19 + 6 \cdot 7 \]
4. Final calculation:
\[ 57 + 42 = 99 \]
This value is less than 150.

**Expression C: \( 2y^2 + 6y + 15 \)**
1. Substitute \( y = 7 \):
\[ 2 \cdot 7^2 + 6 \cdot 7 + 15 \]
2. Calculate the squared term:
\[ 2 \cdot 49 + 42 + 15 \]
3. Simplify further:
\[ 98 + 42 + 15 = 155 \]
This value is not less than 150.

**Expression D: \( 8(y + 5) \cdot 2 \)**
1. Substitute \( y = 7 \):
\[ 8(7 + 5) \cdot 2 \]
2. Calculate within the parentheses:
\[ 8 \cdot 12 \cdot 2 \]
3. Simplify further:
\[ 96 \cdot 2 = 192 \]
This value is not less than 150.

So, the expressions that are less than 150 when \( y = 7 \) are:

- A: \( y \times 2 \cdot 3 \)
- B: \( 3(2y + 5) + 6(3y - 14) \)

Therefore, the correct selections are:

- A
- B