Max puts a stopper in the bathtub and turns on the faucet at t = 0. After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub. Write an equation that relates the number of gallons, g , to the time, t . Does the relationship represent a linear function? Justify your response.

g = 2.2 t ; The equation represents a linear function because the equation is in the form y = mx .

g = 2.2 t ; The equation does not represent a linear function because the equation is not in the form y = mx + b .

g = 4.4 t ; The equation represents a linear function because the equation is in the form y = mx .

g = 4.4 t ; The equation does not represent a linear function because the equation is not in the form y = mx + b .

Construct Functions to Model Linear Relationships

8th Grade

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Construct Functions to Model Linear Relationships

Quiz

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Mathematics

•

8th Grade

•

Practice Problem

•

Easy

•

CCSS

8.F.B.4, 8.EE.B.5, 8.EE.B.6

Standards-aligned

Anthony Clark

Used 1+ times

FREE Resource

15 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Station 1

Station 2

Station 3

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

2066

2000

2064

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

y=21x+5

y=21x+7

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A car driving by crosses the start line at t = 0. . After 9 seconds, the car has traveled 1, 062 ft. Write a linear function rule to model the distance in feet, y, to the number of seconds the car has traveled, x, after crossing the "start" line

y = 118x

1062 = m • 9

x = 118y

y = 118x + 0

Tags

CCSS.HSF-BF.A.1A

FILL IN THE BLANK QUESTION

1 min • 1 pt

A line passes through the points (4, 20) and (6, 22). Write a linear function rule in terms of x and y for this line. The linear function rule is:

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find a function rule for the line that passes through the origin (0,0) and the point (−7,−14). What is the function rule for the line?

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How can you write the equation for a linear function if you know only two ordered pairs for the function?

Use the two ordered pairs to find the slope (m). Then substitute the slope and one set of ordered pairs into y=mx+b to solve for b.

Use the two ordered pairs to find the y-intercept (b). Then substitute the y-intercept and one set of ordered pairs into y=mx+b to solve for m.

Use the two ordered pairs to find the value of y. Then substitute the the value of y and one set of ordered pairs into y=mx+b to solve for x.

Use the two ordered pairs to find the value of x. Then substitute the the value of x and one set of ordered pairs into y=mx+b to solve for y.

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Construct Functions to Model Linear Relationships

15 questions

A car driving by crosses the start line at t = 0. . After 9 seconds, the car has traveled 1, 062 ft. Write a linear function rule to model the distance in feet, y, to the number of seconds the car has traveled, x, after crossing the "start" line

A line passes through the points (4, 20) and (6, 22). Write a linear function rule in terms of x and y for this line. The linear function rule is:

Find a function rule for the line that passes through the origin (0,0) and the point (−7,−14). What is the function rule for the line?

How can you write the equation for a linear function if you know only two ordered pairs for the function?

The deli charges $7.50 for a salad weighing 3 pounds. A salad weighing 4 pounds costs $9.00. What equation can be used to represent the cost of the salad (y) , for the (x) pounds of salad?

What does "m" represent in y=mx+b?

A line passes through the points (5, –7.5) and has a y-intercept 10. Which is a linear function in the form of y = mx + b for this line?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Construct Functions to Model Linear Relationships

15 questions

A car driving by crosses the start line at t = 0. . After 9 seconds, the car has traveled 1, 062 ft. Write a linear function rule to model the distance in feet, y, to the number of seconds the car has traveled, x, after crossing the "start" line

A line passes through the points (4, 20) and (6, 22). Write a linear function rule in terms of x and y for this line. The linear function rule is:

Find a function rule for the line that passes through the origin​ (0,0) and the point ​(−7​,−14​). What is the function rule for the​ line?

How can you write the equation for a linear function if you know only two ordered pairs for the function?

The deli charges $7.50 for a salad weighing 3 pounds. A salad weighing 4 pounds costs $9.00. What equation can be used to represent the cost of the salad (y) , for the (x) pounds of salad?

What does "m" represent in y=mx+b?

A line passes through the points (5, –7.5) and has a y-intercept 10. Which is a linear function in the form of y = mx + b for this line?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find a function rule for the line that passes through the origin (0,0) and the point (−7,−14). What is the function rule for the line?