Flashcard 4.5 & 4.6 Review

Front

What is the equation for the total cost of pizzas delivered if a pizzeria charges $12 per pizza and $3 for delivery?

Back

c = 12p + 3

Front

How do you express the amount of water left in a tank that starts with 84 gallons and loses 3 gallons every hour after x hours?

Back

y = 84 - 3x

Front

What is a function in mathematical terms?

Back

A function is a relation where each input has exactly one output.

Front

Is the set of ordered pairs {(1,2), (2,3), (3,4)} a function?

Back

Yes, it is a function.

Front

What is the domain of a function that charges $0.12 per minute and has a maximum of 200 minutes?

Back

0 ≤ x ≤ 200

Front

What does it mean if a relation is not a function?

Back

It means that at least one input is associated with more than one output.

Front

If a function is defined as f(x) = 2x + 3, what is f(4)?

Back

f(4) = 2(4) + 3 = 11

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of the equation 3x + 2y = 6?

Back

Set x = 0: 2y = 6, so y = 3.

Front

What is the difference between independent and dependent variables?

Back

Independent variables are manipulated, while dependent variables are measured.