Continuous vs. Discrete
Parts of an Equation
3 forms of Linear Equations
Word Problems
100

Is the below situation continuous or discrete?

The waterfall flows at a rate of 2.7 miles per hour.

Continuous

100

What does "m" represent?

Slope

100

What pieces of information do you get from Slope-Intercept form?

Slope & Y-Intercept

200

Is the below situation continuous or discrete?

Every time I receive my paycheck, I put $100 in my savings account. I started the account with $500.

Discrete

200

What does "b" represent?

The y-intercept.

200

What pieces of information do you get from Standard form?

X & Y Intercepts

300

Is 3x+2 continuous or discrete?

Continuous

Explicit equations are continuous, and linear equations are always continuous (this looks like y=mx+b)

300
What's another word for slope?

Rate of change or common difference.

300

What pieces of information do you get from Point-Slope form?

A point & the slope

400

Is f(n) = f(n-1) + 6 continuous or discrete?

Discrete

Recursive equations are discrete

400

What's another word for y-intercept?

Starting value.

400

Create an equation in Point-Slope form using the below point and slope:

Point: (1,3)

Slope: 4

y = 4(x - 1) + 3

400

Mold is growing on a piece of bread at a rate modeled by the equation M = 2*7t, where M is the amount of mold spores on the bread, and t is the number of days since the mold started spreading. What do the numbers 2 and 7 represent?

A) 2 is the growth factor (common ratio); 7 is the initial amount of mold spores

B) 2 is the initial amount of mold spores; 7 is the growth factor (common ratio)

C) 2 is the time in hours; 7 is the total amount of mold spores

D) 2 and 7 are both growth factors (common ratios) that multiply together

B; 2 is the initial amount of mold spores, and 7 is the growth factor

Growth factor is common ratio for exponential equations

500

Is f(x) = 2*5x continuous or discrete?

Continuous

Explicit equations are continuous, and exponential equations are always continuous

500

What's another word for an x-intercept?

A zero.

500

Create an explicit equation using the below point and slope:

Point: (3,5)

Slope: -2

y = -2(x - 3) + 5

500
The population of a country starts with 100,000 people. 30,000 more people become citizens every year. The equation P = 30000t + 100000 models the country's population, where P is the number people living in the country, and t is the time in years. The country has been observed for the census for 15 years. Which domain is reasonable for this situation?

A) Domain: [0,15]

B) Domain: (-infinity, infinity)

C) Domain: [0, infinity)

A, because the population is only being observed for 15 years, and time cannot be negative

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