ACP Review: Day 1

Front

What is the y-intercept of a linear graph?

Back

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

Front

If Jonathon lost weight at a constant rate and the y-intercept is (0,10), what does this indicate about his weight at the start?

Back

It indicates that Jonathon's weight was 10 pounds at the beginning of the weight loss period.

Front

What does it mean for a cost to vary directly with the amount purchased?

Back

It means that as the amount purchased increases, the total cost increases proportionally.

Front

If 5.5 gallons of gas cost $12.60, how do you find the cost per gallon?

Back

Divide the total cost by the number of gallons: $12.60 / 5.5 = $2.40 per gallon.

Front

What is the equation that represents direct variation?

Back

The equation is of the form y = kx, where k is the constant of variation.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

Given the range −5 < y ≤ 7, what does this indicate about the values of y?

Back

It indicates that y can take any value greater than -5 and up to and including 7.

Front

How do you determine the slope of a line from a graph?

Back

The slope is determined by the rise over run, or the change in y divided by the change in x between two points on the line.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What does the term 'constant rate' imply in a weight loss scenario?

Back

It implies that the weight loss occurs at a steady pace over time, without fluctuations.