Classify each equation as defining yyy as a linear or nonlinear function of xxx. Select one cell per column.​

Question

y
=
7
×
4
x
y=7×4x
y
=
(
2
x
+
5
)
2
y=(2x+5)
2

y
=
10
x
2
y=10x
2

y
=
5
x
−
3
y=5x−3
y
=
x
2
y=
2
x
​

y
=
2
x
3
+
1
y=2x
3
+1
linear

nonlinear

Answer 1

Here’s the classification of each equation:

| Equation | Classification | |-------------------------|-----------------| | \( y = 7 \times 4^x \) | Nonlinear | | \( y = (2x + 5)^2 \) | Nonlinear | | \( y = 10x^2 \) | Nonlinear | | \( y = 5x - 3 \) | Linear | | \( y = x^2 \) | Nonlinear | | \( y = 2x^3 + 1 \) | Nonlinear |

Summary:

• Linear: \( y = 5x - 3 \)
• Nonlinear: All other equations.