Compare Initial Values and Rate of Change

Consider the two functions shown here. How many times larger is 1's rate of change than 2 rate of change?

• 1/4 times larger

• 3 times larger

• 4 times larger

• 1/2 times larger

Answer explanation

function 1 use rise over run to find slope

function 2 it already gives you slope which is the the number with x in this case

then since it says how many times larger, you divide

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Consider the two functions shown here. Which function has the steeper slope?

• Function 2 because it's slope is smaller

• Function 1 because it's slope is smaller

• Function 1 because it's slope is larger

• Function 2 because it's slope is larger

Answer explanation

function 1 use rise over run to find slope

function 2 it already gives you slope which is the the number with x in this case

then since it says how many times larger, you divide

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Jude observes two small plants in a garden. He records the growth of Plant 1 over several days and plots points (0,2.5), (1,4.5) (2,6.5) . He also determines that the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. Which statement correctly compares the growth of the plants?

• Plant 2 grows faster than Plant 1.

• Plant 1 grows faster than Plant 2.

• Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.

• The two plants grow at the same rate.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Jude observes two small plants in a garden. He records the growth of Plant 1 over several days and plots points (0,3.5), (1,7) (2,10.5) . He also determines that the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. Which statement correctly compares the growth of the plants?

• Plant 2 grows faster than Plant 1.

• Plant 1 grows faster than Plant 2.

• Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.

• The two plants grow at the same rate.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Jude observes two small plants in a garden. He records the growth of Plant 1 over several days and plots points (0,2.5), (1,5) (2,7.5) . He also determines that the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. Which statement correctly compares the growth of the plants?

• Plant 2 grows faster than Plant 1.

• Plant 1 grows faster than Plant 2.

• Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.

• The two plants grow at the same rate.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

• Car A and Car B are traveling at the same rate per minute.

Answer explanation

the rate of graph is 2/3 so what is larger? 2/3 or 5/6? can divide if needed to find out which larger

then answer choices say times greater than so that division to find out

have to turn into mixed number and reduce

Tags

CCSS.8.EE.B.5

• Car A and Car B are traveling at the same rate per minute.

Answer explanation

same slopes so same speed per min

Tags

CCSS.8.EE.B.5

• Car A and Car B are traveling at the same rate per minute.

Tags

CCSS.8.EE.B.5

Is this function linear or nonlinear?

• Linear

• Nonlinear

Tags

CCSS.8.F.A.3

Why is this function linear?

• This is a linear function because it does not have a constant rate of change.

• This is a linear function because it creates a curved line.

• This is a linear function because it has a constant rate of change.

• This is a linear function because it's y-intercept is (0,2)

Tags

CCSS.HSF-LE.A.1B