Lesson 1 Homework Practice Constant Rate Of Change Answers

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How to Master Lesson 1 Homework Practice Constant Rate Of Change

If you are struggling with lesson 1 homework practice constant rate of change, you are not alone. Many students find this topic challenging and confusing. But don't worry, we are here to help you master it in no time.

In this article, we will explain what constant rate of change means, how to calculate it, and how to apply it to different scenarios. We will also provide you with some tips and tricks to ace your homework and get the answers you need.

What is Constant Rate Of Change?

Constant rate of change is a measure of how a quantity changes in relation to another quantity over a period of time. It is also known as slope or gradient in mathematics.

For example, if you are driving a car at a constant speed of 60 miles per hour, your constant rate of change is 60 miles per hour. This means that for every hour that passes, you travel 60 miles.

Another example is if you are saving money at a constant rate of $100 per month. Your constant rate of change is $100 per month. This means that for every month that passes, you save $100.

How to Calculate Constant Rate Of Change?

To calculate constant rate of change, you need to know two things: the change in the dependent variable (the quantity that changes) and the change in the independent variable (the quantity that causes the change).

The formula for constant rate of change is:

Constant rate of change = (change in dependent variable) / (change in independent variable)

For example, if you are driving a car at a constant speed of 60 miles per hour for 2 hours, your change in dependent variable is 120 miles (the distance you traveled) and your change in independent variable is 2 hours (the time you spent driving). Using the formula, your constant rate of change is:

Constant rate of change = (120 miles) / (2 hours) = 60 miles per hour

Another example is if you are saving money at a constant rate of $100 per month for 6 months, your change in dependent variable is $600 (the amount you saved) and your change in independent variable is 6 months (the time you spent saving). Using the formula, your constant rate of change is:

Constant rate of change = ($600) / (6 months) = $100 per month

How to Apply Constant Rate Of Change to Different Scenarios?

Constant rate of change can be used to model and analyze different situations that involve linear relationships. A linear relationship is when two quantities change at a constant rate with respect to each other.

For example, if you are given a table or a graph that shows how two quantities change over time, you can use constant rate of change to find the equation that represents the relationship between them.

The equation for a linear relationship is:

y = mx + b

where y is the dependent variable, x is the independent variable, m is the constant rate of change (or slope), and b is the y-intercept (or the value of y when x is zero).

To find m, you can use the formula for constant rate of change. To find b, you can plug in any pair of values for x and y from the table or graph and solve for b.

For example, if you are given this table that shows how much money you have after saving for different months:

MonthsMoney

0$200

1$300

2$400

3$500

4$600

You can use constant rate of change 9160f4acd4

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