8th 4.6 HW

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by the equation of a line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the initial value in a linear equation?

Back

The initial value in a linear equation is the value of y when x is 0. It represents the starting point of the relationship before any changes occur.

Front

What does the slope of a line represent in a real-world context?

Back

The slope of a line represents the rate of change between the two variables. In a real-world context, it indicates how much one quantity changes for a unit change in another quantity.

Front

How do you calculate the total cost when given a fixed fee and a variable cost per unit?

Back

Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units). For example, if the fixed fee is $15 and the variable cost is $12 per photo, the total cost for 3 photos would be: Total Cost = 15 + (12 * 3) = $51.

Front

What is the formula to find the cost of multiple items with a fixed fee?

Back

Cost = Fixed Fee + (Cost per Item * Number of Items). This formula helps to calculate the total cost when there is a base fee plus a charge for each item.

Front

How do you interpret a graph showing costs over time?

Back

A graph showing costs over time can help identify trends, such as whether costs are increasing or decreasing, and can also help determine fixed fees and variable costs based on the slope and intercept.

Front

What is the significance of the y-intercept in a cost function?

Back

The y-intercept represents the initial cost or fixed fee before any additional costs are incurred. It is the starting point of the cost function on a graph.

Front

How can you determine the rate of change from a table of values?

Back

The rate of change can be determined by calculating the difference in the y-values divided by the difference in the x-values between two points. For example, if the cost increases from $30 to $35 as the hours increase from 2 to 3, the rate of change is (35-30)/(3-2) = $5 per hour.

Front

What is a sitting fee in the context of photography?

Back

A sitting fee is a fixed charge that a photographer requires for the time spent taking photos, regardless of the number of photos taken.

Front

How do you find the height of a plant at the start of measurement given weekly growth?

Back

To find the initial height of a plant, you can use the linear relationship established by the weekly measurements. If the height increases consistently, you can extrapolate back to find the height at week 0.