Constant rate of change

What you'll learn

Identify the constant rate of change (slope) from a table of values, graph, or equation representing a linear relationship with at least 80% accuracy.
Calculate the constant rate of change (slope) given two points on a line and express the answer as a unit rate with 100% accuracy.
Explain, using mathematical vocabulary (slope, y-intercept, linear relationship), how the constant rate of change (slope) affects the steepness and direction of a line on a graph.
Solve real-world problems involving constant rates of change by writing and interpreting linear equations, demonstrating the ability to correctly set up and solve at least 3 out of 4 problems.

Tutorial Preview

1

A table shows money earned: 2 hours is $20, 4 hours is $40. Find the rate.

2

A car travels 150 miles in 3 hours. What is its constant speed?

3

A graph of a leaking faucet shows a line through (0,0) and (4, 12). What is the rate in mL per minute?

Sample Practice Questions

Challenging

<p>A tank is being filled with water at a constant rate. The table below shows the volume of water at different times, but one value is missing. What is the value of 'y'?</p><table style="border-collapse:collapse;margin:10px 0"><tbody><tr><th style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">Time (min) (x)</th><th style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">Volume (L) (y)</th></tr><tr><td style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">2.0</td><td style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">6.5</td></tr><tr><td style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">5.0</td><td style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">16.25</td></tr><tr><td style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">7.0</td><td style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">y</td></tr><tr><td style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">9.0</td><td style="border:1px solid #94a3b8;padding:5px 12px;text-align:center">29.25</td></tr></tbody></table>

A.22.75

B.21.50

C.22.50

D.23.00

Easy

A factory makes 30 toys in 3 hours. What is the constant rate of production in toys per hour?

0.10

1.15

2.30

3.90

Easy

A graph of a growing puppy's weight shows a line through (0,0) and (2, 10). What is the rate of weight gain in lbs per month?

0.2

1.5

2.8

3.10

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Frequently asked questions

What grade level is "Constant rate of change"?

Constant rate of change is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Constant rate of change?

You'll be able to: Identify the constant rate of change (slope) from a table of values, graph, or equation representing a linear relationship with at least 80% accuracy; Calculate the constant rate of change (slope) given two points on a line and….

Is "Constant rate of change" free to practice?

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How many practice questions are included with Constant rate of change?

This lesson includes 22 practice questions across multiple difficulty levels, each with instant feedback and explanations.