Slope and rate of change

The table models the change of water as it leaks from an 80 gallon pool at the rate of 10 gallons per minute. What is the rate of change in f(x) as x decreases.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The graph of the linear function y=f(x) passes through

the points (2, 4) and (6, 12). What is the rate of change

of y with respect to x?

• 1/2

• -1/2

• 2

• -2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function? table?

• 3

• 2

• 2/3

• 3/2

Tags

CCSS.HSF-LE.A.1B

The change of the value of y in relation to x is modeled by this graph. What is the rate of change of y with respect to x?

• 1/2

• -1/2

• 2/1

• -2/1

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The graph shows the decline of grass over winter time, in the backyard. What is the rate of change in the grass per week?

• -5/3

• -3/5

• 5/3

• 3/5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A truck driver drives long distance. The distance he drives, y, is a linear function of the time he spends on the road. What is the rate of change in y with respect to x in distance in miles?

• 116 miles per hour

• 232 miles per hour

• 58 miles per hour

• 29 miles per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• slope: 3  

• slope: 3/4   

• slope:  4  

• y=mx+b 

Tags

CCSS.HSF-LE.A.1B

The table represents the sale of raffle tickets. Find the rate of change y with respect to x for this function for tickets sold.

• 2 dollars per ticket

• -2 dollars per ticket

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The points (10, 1) and (5, 2) both

lie on the graph of a linear function, y=f(x).

What is the rate of change of f(x) with

respect to x?

• 1/5

• -1/5

• 5

• -5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

This graph models the value in U.S. dollars in respect to the number of pounds of coffee sold at a given time. What was the rate of change in dollars per pound of coffee?

• $1 per pound

• $2 per pound

• $0.50 per pound

• $50 per pound

Tags

CCSS.HSF.IF.B.4