Compare Rate of Change and Initial Values

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.

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.

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.

• 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

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

Answer explanation

same slopes so same speed per min

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

Select the true statement.

• This table represents a linear function since the rate of change is always 2.

• This table represents a nonlinear function since the y-intercept is 12.

• This table represents a nonlinear function since the rate of change is not constant.

Who is going at a faster rate and why?

• The tortoise because it got a head start

• The hare because its line is more steep

• They are going the same speed because the lines crossed

• I don't know

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)

Find the rate of change

• 3

• -3

• 20

• Not a constant slope/Non-Linear