Front

What is the function w(x) if w(x) = 3x - 7?

Back

w(x) = 3x - 7 is a linear function where the slope is 3 and the y-intercept is -7.

Front

If w(x) = 14, how do you find x?

Back

Set 3x - 7 = 14. Solve for x: 3x = 21, x = 7.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the function; in this case, it indicates how many feet the sloth runs per minute.

Front

Evaluate w(x) for x = -2. What is w(-2)?

Back

w(-2) = 3(-2) - 7 = -6 - 7 = -10.

Front

What does g(x) = 3x + 4 represent in the context of selling bubble gum?

Back

g(x) represents the total cost of x packages of bubble gum.

Front

Find g(8) for the function g(x) = 3x + 4. What does it mean?

Back

g(8) = 3(8) + 4 = 24 + 4 = 28. This means that 8 packages of gum cost $28.

Front

Given f(x) = -4x - 10, how do you find x if f(x) = 10?

Back

Set -4x - 10 = 10. Solve for x: -4x = 20, x = -5.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the value of y when x = 0; it indicates where the line crosses the y-axis.

Front

How do you interpret the slope in a real-world context?

Back

The slope can indicate speed, efficiency, or rate of change in various scenarios, such as distance over time.