LSAP Q Warm-Up

Multiple Choice

What is the average rate of change from 0 to 4 minutes?

• 12

• 14

• $$\frac{1}{12}$$

• $$\frac{1}{14}$$

Multiple Choice

What is the average rate of change

between 10 and 15 minutes?

• 95

• $$\frac{1}{19}$$

• 19

• $$\frac{1}{95}$$

Exponential functions increase faster than linear or quadratic functions.

​Rate of Change: Exponential Functions

​EXPONENTIAL FUNCTIONS
HAVE THE GRERATEST
RATE OF CHANGE!

Multiple Choice

Which table increases most rapidly?

Multiple Choice

Which table increases most rapidly?

Multiple Choice

Which graph increases most rapidly?

Multiple Choice

Which graph increases most rapidly?

What is an exponential equation?

a--initial value, y-intercept, never 0

b--growth or decay factor, never 0 or 1 (base)

x--exponent/power

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells

and increases by 30% each year.

Which equation that represents this situation?

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.30)^x

• y=5000x^x

Multiple Choice

Samantha's hair began at a length of 6 inches

and grew at a rate of 14% a week.

Which equation that represents this situation?

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Multiple Choice

You bought a watch for $12,500.

The value increases by 7% a year.

Which equation represents this exponential function?

• $$y=12,500\left(7\right)^x$$

• $$y=12,500\left(1.07\right)^x$$

• $$y=12,500\left(1.7\right)^x$$

• $$y=12,500\left(.07\right)^x$$