8.5I Verbal Descriptions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

How do you represent a linear function?

Back

A linear function can be represented in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much the output (y) changes for a unit change in the input (x).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0; it represents the starting point of the function on the y-axis.

Front

How can you determine the total cost of items with a fixed fee and a variable cost per item?

Back

The total cost can be calculated using the equation: Total Cost = (Cost per item * Number of items) + Fixed fee.

Front

What is the significance of the initial payment in a payment plan?

Back

The initial payment is a one-time fee that reduces the total amount that needs to be financed or paid over time.

Front

How do you interpret the equation y = mx + b in a real-world context?

Back

In a real-world context, y represents the total amount, m represents the rate of change (slope), x represents the quantity, and b represents any fixed costs.

Front

What does it mean for a fish to be ascending at a rate of 7 meters per second?

Back

It means that for every second the fish swims, its depth decreases by 7 meters, moving closer to the surface.

Front

How do you calculate the total savings over time with a fixed weekly income?

Back

Total savings can be calculated using the equation: Total Savings = (Weekly Income * Number of Weeks) + Initial Savings.

Front

What is the formula to find the total cost of shirts with a design fee?

Back

The total cost can be calculated using the equation: Total Cost = (Cost per shirt * Number of shirts) + Design fee.