4B Part 2: Rate of Change (Tables & Points)

I know that I am expected to show my work on paper to help myself solve these problems rather than just doing them in my head.

• Yes

• No (FALSE, you DO know because you should have just read it. Go get paper and a writing utensil.)

Answer explanation

Seriously! GO GET PAPER AND A WRITING UTENSIL.

Slope Dude says this is...

• positive

• negative

• undefinded

• zero

Answer explanation

PUFF PUFF POSITIVE

Slope Dude says this is...

• undefined

• positive

• negative

• zero

Answer explanation

NICE NEGATIVE

Slope Dude says this is...

• undefined

• positive slope

• negative slope

• zero slope

Answer explanation

THIS IS ZERO FUN (no slope, flat line, no change at all, not increasing nor decreasing)

Slope Dude says this is...

• Undefined

• Help

• Zero

• Positive

Answer explanation

UNDEFINED! (no horizontal change, can't define without that)

Find the slope of the line that passes through:

 $\left(-1,3\right)\ and\ \left(2,5\right)$  

•  $\frac{2}{3}$  

•  $\frac{3}{2}$  

•  $-\frac{2}{3}$  

•  $-\frac{3}{2}$  

Answer explanation

 $\frac{\Delta y}{\Delta x}=\frac{5-3}{2-\left(-1\right)}=\frac{2}{3}$  

What is the rate of change of

 $\left(-3,7\right)\ and\ \left(5,-9\right)$  

•  $-2$  

•  $2$  

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

Answer explanation

 $\frac{\Delta y}{\Delta x}=\frac{7-\left(-9\right)}{-3-5}=\frac{16}{-8}=-2$  

Find the rate of change (slope) for this table.

• 1

• 2

• 11

Answer explanation

What is the slope of

• $\frac{2}{3}$

• $-\frac{2}{3}$

• $\frac{3}{2}$

• $-\frac{3}{2}$

Answer explanation

Find the rate of change (slope) for this table.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Answer explanation