Question

Three classmates are working with three different expressions. Each classmate substitutes in the value x=4
into their expression.

Eleanor
5x−10

parker
5x^2+3

nellie
5^x−40


When substituting in the value x=4
, Eleanor would get a result of Response area, Parker would get a result of Response area, and Nellie would get a result of Response area



Response areaexpression produced the largest value.​​​​​​

Answer 1

Let's evaluate each classmate's expression by substituting \( x = 4 \).

**Eleanor's expression:**
\[
5x - 10
\]
Substituting \( x = 4 \):
\[
5(4) - 10 = 20 - 10 = 10
\]

**Parker's expression:**
\[
5x^2 + 3
\]
Substituting \( x = 4 \):
\[
5(4^2) + 3 = 5(16) + 3 = 80 + 3 = 83
\]

**Nellie's expression:**
\[
5^x - 40
\]
Substituting \( x = 4 \):
\[
5^4 - 40 = 625 - 40 = 585
\]

Now, we summarize the results:
- Eleanor: \( 10 \)
- Parker: \( 83 \)
- Nellie: \( 585 \)

**Result:**

- Eleanor would get a result of \( 10 \).
- Parker would get a result of \( 83 \).
- Nellie would get a result of \( 585 \).

The expression produced the largest value is **Nellie’s** expression, \( 5^x - 40 \), which evaluates to \( 585 \).