Rate of Change

Rate of Change

Rate of Change

• Time always goes in the denominator

•  $\frac{amount}{time}$  

•  $rate\cdot time=amount$  is how you can find missing information for other situations with the same rate

Multiple Choice

What is the rate of change?

• $\frac{amount}{time}$

• $\frac{time}{amount}$

Multiple Choice

You paint a house at a rate of 40 square feet every 60 minutes. What is the constant rate?

• $\frac{40}{60}$

• $\frac{60}{40}$

Multiple Choice

At the rate

 $\frac{40}{60}$  square ft per minute, how can we find missing information for painting a different house at the same rate?

•  $\frac{40}{60}\cdot time=amount\ painted$  

•  $\frac{40}{60}\cdot amount\ painted\ =\ time$  

Multiple Choice

You build a 40 foot fence in 3 hours. If you built it at a constant rate, what is the rate?

• $\frac{40}{3}$

• $\frac{3}{40}$

Multiple Choice

At the rate of

 $\frac{40}{3}$  feet per hour, what is an equation we can use for other situations?

•  $\frac{40}{3}\cdot hours=feet$  

•  $\frac{40}{3}\cdot feet=hours$  

Open Ended

What does it mean for a rate to be constant?

Open Ended

Water flows out of a faucet at a constant rate. In 3 minutes, 10.5 gallons come out.

What is the constant rate?

At a rate of 

 $\frac{10.5}{3}$  gallons per minute, what equation can we use for other situations?

•  $rate\cdot time=amount$  

•  $\frac{10.5}{3}\cdot time=amount$  

 $\frac{10.5}{3}\cdot time=amount$  
Make a table and graph (OneNote)