Unit Rate as Slope

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, like miles per hour or dollars per item.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How is slope defined in a graph?

Back

Slope is a measure of the steepness of a line on a graph, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope from two points on a graph?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

Front

If a diver descends at 15 ft per minute, what is the slope of the graph representing this rate?

Back

The slope is -15, indicating a descent.

Tags

CCSS.8.EE.B.5

Front

If Haydn makes $10 for every 2 glasses of lemonade, what is his unit rate?

Back

The unit rate is $5 per glass of lemonade.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Corbin can shoot 24 baskets in 3 minutes. What is his unit rate?

Back

The unit rate is 8 baskets per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Jose rides his bike 9 miles in 30 minutes, what is his unit rate in miles per hour?

Back

The unit rate is 18 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

A pool fills at a rate of 25 gallons per minute. What is the slope of the graph representing this rate?

Back

The slope is 25, indicating an increase in gallons over time.

Tags

CCSS.HSF.LE.B.5