Summit - Rates of Change, and Unit Rates

Check all that are true:

What does  $\Delta y$  mean?

• Delta y

• The change in y-values

• How much the dependent variable changes

• Triangle y

• How much the independent variable changes

Tags

CCSS.HSF-LE.A.1B

Check all that are true:

What does  $\Delta x$  mean?

• Delta x

• The change in x-values

• How much the dependent variable changes

• Triangle x

• How much the independent variable changes

Tags

CCSS.HSF-LE.A.1B

Check all that are true:

What does the rate of change mean?

• Delta x over Delta y

• The change in x values over change in y values

• Delta y over Delta x

• The change in y values over change in x values

• How much all the variables change

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Check all that are true:

What does the unit rate mean?

• The rate of change shown with a denominator of 1

• How much the dependent variable (y) changes for every one unit of change in the independent variable (x).

• The rate of change shown with a numerator of 1

• How much the independent variable (x) changes for every one unit of change in the dependent variable (y).

• How much all the variables change

Tags

CCSS.HSF.IF.B.4

Name the Rate of Change:

Mr. Soundsgood was planning to take his band students to a concert.  He purchased 70 tickets for 175 dollars.

•  $\frac{5}{2}=\frac{\Delta y}{\Delta x}$  

•   $\frac{70}{175}=\frac{\Delta y}{\Delta x}$  
  

•  $\frac{175}{70}=\frac{\Delta x}{\Delta y}$  
  

•  $\frac{35}{2.5}=\frac{\Delta x}{\Delta y}$  
  

Tags

CCSS.HSF-LE.A.1B

Name the rate of change shown as a UNIT RATE.

Mr. Soundsgood was planning to take his band students to a concert.  He purchased 70 tickets for 175 dollars.

•  $\frac{2.5\ dollars}{1\ ticket}$  

•   $\frac{2.5\ tickets}{1\ dollar}$  
  

•  $\frac{35\ tickets}{14\ dollar}$  
  

•  $\frac{1\ ticket}{2.5\ dollars}$  
  

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Name the Rate of Change:

Madesyn baked cupcakes last Saturday.  She started at 8 a.m. and finished at 3:30 p.m.  She baked a total of 330 cupcakes.

•  $\frac{330}{7.5}=\frac{\Delta y}{\Delta x}$  

•   $\frac{7.5}{330}=\frac{\Delta y}{\Delta x}$  
  

•  $\frac{6}{330}=\frac{\Delta x}{\Delta y}$  
  

•  $\frac{330}{6}=\frac{\Delta x}{\Delta y}$  
  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Name the Rate of Change shown as a UNIT RATE.

Madesyn baked cupcakes last Saturday.  She started at 8 a.m. and finished at 3:30 p.m.  She baked a total of 330 cupcakes.

•  $\frac{44\ cupcakes}{1\ hour}$  

•   $\frac{55\ cupcakes}{1\ hour}$  
  

•  $\frac{1\ hour}{44\ cupcakes}$  
  

•  $\frac{1\ hour}{55\ cupcakes}$  
  

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Name the Rate of Change:

Last Saturday after three days of rain, the temperature dropped  $4\degree$  every five minutes through out the day

•  $\frac{4}{5}=\frac{\Delta y}{\Delta x}$  

•   $-\frac{4}{5}=\frac{\Delta y}{\Delta x}$  
  

•  $-\frac{4}{5}=\frac{\Delta x}{\Delta y}$  
  

•  $\frac{5}{4}=\frac{\Delta x}{\Delta y}$  
  

Tags

CCSS.HSF-LE.A.1B

Name the Rate of Change shown as a UNIT RATE.

Last Saturday after three days of rain, the temperature dropped  $4\degree$  every five minutes through out the day

•  $\frac{.8\ \deg}{1\ \min}$  

•   $\frac{1.25\ \deg}{1\ \min}$  
  

•  $\frac{.75\ \deg}{1\ \min}$  
  

•  $\frac{.8\ \min}{1\ \deg}$  
  

Tags

CCSS.6.RP.A.3B