2024 #1 Readiness 8.8C, 8.4B, 8.4C, 8.5I, 8.5G, 8.5D 8.7A 8.12D

Front

What is the formula for calculating the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

The slope represents the rate of change between two variables. For example, in a graph showing ink usage over time, the slope indicates how many ounces of ink are used per minute.

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y. This relationship can be represented as y = f(x).

Front

What is the significance of a trend line in a scatter plot?

Back

A trend line shows the general direction of the data points in a scatter plot and can be used to make predictions about values not explicitly represented in the data.

Front

How do you calculate the total interest paid on a loan?

Back

Total interest can be calculated using the formula: Interest = Principal x Rate x Time, where Principal is the loan amount, Rate is the annual interest rate, and Time is the loan duration in years.

Front

What is the difference between simple interest and compound interest?

Back

Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal plus any interest that has already been added.

Front

How do you determine the average rate of change from a graph?

Back

The average rate of change can be determined by finding the slope of the line connecting two points on the graph.

Front

What is the relationship between the number of cabinets painted and time in hours?

Back

The relationship can be expressed as a rate, which is the number of cabinets painted per hour, calculated as total cabinets divided by total hours.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you use a scatter plot to make predictions?

Back

You can use a scatter plot to identify trends and relationships between variables, and then use a trend line to estimate values for new data points.