Linear vs Exponential Relationships

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.

Tags

CCSS.HSF-LE.A.1A

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 3.

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 3.

This means the table shows REPEATED MULTIPLICATION.

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

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

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

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 40.

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 40.

This means the table shows REPEATED ADDITION.

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

Tags

CCSS.8.F.A.3

The relationship in the graph is ​ (a)   because the graph is ​ (b)   , which means the rate of change is ​ (c)   .

• exponential
• curved
• changing
• linear
• a straight line
• constant

Tags

CCSS.HSF-LE.A.1B

The relationship in the graph is ​ (a)   because the graph is ​ (b)   , which means the rate of change is ​ (c)   .

• linear
• a straight line
• constant
• exponential
• curved
• changing

Tags

CCSS.HSF-LE.A.1B

• exponential
• in the exponent of the growth factor
• repeated multiplication
• linear
• multiplied by the slope
• repeated addition

Tags

CCSS.HSF-IF.C.8B

• linear
• multiplied by the rate of change
• repeated addition
• repeated multiplication
• is in the exponent of the growth factor
• exponential

Tags

CCSS.HSF-LE.A.1B

• exponential
• in the exponent of the growth factor
• repeated multiplication
• linear
• multiplied by the slope
• repeated addition

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

• linear
• multiplied by the rate of change
• repeated addition
• repeated multiplication
• is in the exponent of the growth factor
• exponential

Tags

CCSS.HSF.LE.A.1

CCSS.HSA.SSE.A.1