Linear Functions in Context

Linear Functions in Context

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

2.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable with respect to the independent variable.

3.

FLASHCARD QUESTION

Front

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

Back

In a real-world context, the slope indicates how much one quantity changes for a unit change in another quantity.

4.

FLASHCARD QUESTION

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the function on the y-axis.

5.

FLASHCARD QUESTION

Front

What does f(1990)=214 mean in a linear function context?

Back

It means that in the year 1990, the value of the function (e.g., number of people with health insurance) was 214.

6.

FLASHCARD QUESTION

Front

How can you find the slope from two points on a line?

Back

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

7.

FLASHCARD QUESTION

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

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