Benchmark 1 review #2

Front

What is the rule for scaling coordinates by a factor of 2?

Back

(x, y) → (2x, 2y)

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, b).

Front

How do you express a repairman's pay rate with an initial charge and hourly rate?

Back

y = 40x + 75, where y is total pay, x is hours worked.

Front

What does a slope of 45 gallons per minute represent in a graph?

Back

It indicates a constant rate of change, showing how much water is discharged over time.

Front

What is the rule for scaling coordinates by a factor of 1/3?

Back

(x, y) → (⅓x, ⅓y)

Front

Define slope in the context of a graph.

Back

Slope is the ratio of the rise (change in y) to the run (change in x), indicating steepness.

Front

What is the formula for a linear equation in slope-intercept form?

Back

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

Front

How do you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does it mean if a graph has a positive slope?

Back

It indicates that as x increases, y also increases.

Front

What is the significance of the initial charge in a pay equation?

Back

It represents a fixed cost that must be paid regardless of the number of hours worked.