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Determining Rate of Change and Initial Value

Determining Rate of Change and Initial Value

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which represents the amount of change in the dependent variable (y) for a unit change in the independent variable (x).

2.

FLASHCARD QUESTION

Front

How do you determine the initial value in a linear function?

Back

The initial value in a linear function is the y-intercept, which is the value of y when x is 0. It can be found in the equation of the line in the form y = mx + b, where b is the initial value.

3.

FLASHCARD QUESTION

Front

What is the slope of the function y = 2x + 2?

Back

The slope of the function y = 2x + 2 is 2.

4.

FLASHCARD QUESTION

Front

How do you calculate the total cost of a service that includes a flat fee and a variable charge?

Back

To calculate the total cost, use the equation y = mx + b, where m is the variable charge per unit (hour, ride, etc.), x is the number of units, and b is the flat fee.

5.

FLASHCARD QUESTION

Front

What is the equation for a linear function that has a slope of 26 and a y-intercept of 50?

Back

The equation for the linear function is y = 26x + 50.

6.

FLASHCARD QUESTION

Front

If a gym charges a one-time membership fee and a monthly fee, how can you express the total cost?

Back

The total cost can be expressed as y = mx + b, where m is the monthly fee, x is the number of months, and b is the one-time membership fee.

7.

FLASHCARD QUESTION

Front

What does the slope represent in a cost function?

Back

The slope represents the rate at which the cost increases with each additional unit of service (e.g., hour of work, ride, month).

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