Linear vs. Exponential vs Quadratic

The relationship in the table is ​ (a)   because each consecutive row shows ​ (b)   .

• exponential

• repeated multiplication

• linear

• repeated addition

Answer explanation

If you look at the y column, you can find the next y-value by multiplying by 2.

Another way to find this pattern is to divide the y-values by the previous y-value. When you do this division, the result is always 2.

This means the table shows REPEATED MULTIPLICATION.

Repeated multiplication indicates EXPONENTIAL GROWTH because we can represent y with an exponential expression.

The relationship in the table is ​ (a)   because each consecutive row shows ​ (b)   .

• linear

• repeated addition

• exponential

• repeated multiplication

Answer explanation

If you look at the y column, you can find the next y-value by adding 2.

Another way to find this pattern is to subtract the y-values by the previous y-value. When you do this subtraction, the result is always 2.

This means the table shows REPEATED ADDITION.

Repeated multiplication indicates LINEAR GROWTH because we can represent y with a linear expression.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Is the Equation Linear or Exponential?

• Linear

• Exponential

Is the Equation Linear or Exponential?

• Linear

• Exponential

Is the Equation Linear or Exponential?

• Linear

• Exponential

Is the Equation Linear or Exponential?

• Linear

• Exponential

What is the equation of the following table

• y = 7(2)^x

• y = 4x + 7

What is the equation of the following table

• y = 7(2)^x

• y = 4(2)^x

What is the equation of the following table

• y = 2x + 10

• y = 10(2)^x

What is the equation of the following table

• y = 10x + 5

• y = 10(2)^x