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Linear vs Exponential Relationships

Authored by William Day

Mathematics

9th Grade

CCSS covered

Used 13+ times

Linear vs Exponential Relationships
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12 questions

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1.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

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

exponential
repeated multiplication
linear
repeated addition

Answer explanation

Media Image

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

2.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

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

exponential
repeated multiplication
linear
repeated addition

Answer explanation

Media Image

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

3.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

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

linear
repeated addition
exponential
repeated multiplication

Answer explanation

Media Image

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

4.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

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

linear
repeated addition
exponential
repeated multiplication

Answer explanation

Media Image

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

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

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

6.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

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

7.

DRAG AND DROP QUESTION

1 min • 1 pt

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

Tags

CCSS.HSF-IF.C.8B

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