Unit 8 Rate of Change and Linear Functions Quiz

What is the rate of change in the table shown below?

• 2/3

• 2

• 1/2

• 3

Answer explanation

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A linear function has a rate of change of 3. Which of the following functions below could NOT represent this function?

• y = 3x + 1

• 
• y = x + 3

• 

Answer explanation

y=x+3 is the answer because it is the only response that does not have a slope of 3. We know this because there is not a 3 in front of the x.

Tags

CCSS.HSF-LE.A.1B

What is the initial value of the table shown below?

• -1

• 1

• 0

• -2

Answer explanation

The initial value of the table is -2. This is found by taking the slope (3) and subtracting from 4 and then from 1 so that when x=0, y=-2.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the initial value of the function y = 3x - 5?

• A) 2

• B) -5

• C) 5

• D) 0

Answer explanation

The initial value of the function y = 3x - 5 is found by setting x=0. Therefore, y = 3(0) - 5 = -5. Hence, the correct answer is B) -5.

Tags

CCSS.HSF.LE.B.5

What is the initial value of the function 3y = 2x + 12?

• A) 4

• B) 5

• C) 12

• D) 2

Answer explanation

To find the initial value, set x = 0 in the equation 3y = 2x + 12. This gives 3y = 12, so y = 4. Therefore, the initial value is 4, which corresponds to option A.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the initial value in this situation:

A catering company charges a client $75 to book an event, then $55 per hour after.

• A) $55

• B) $75

• C) $130

• D) $20

Answer explanation

The initial value in this situation is $75, which is the amount charged by the catering company to book an event before any additional hourly charges.

Tags

CCSS.HSF.LE.B.5

Which function matches the table shown below?

• y = 3x + 6

• y = -3x + 6

• y = 6x + 3

• y = 1/3x + 6

Answer explanation

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

• 
• 
• 
• None of the above

Answer explanation

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which scenario is BEST represented by the graph shown?

• Tom is jogging in the park. He starts off slow, then picks up speed. He stops to rest on a bench, then resumes jogging, but has to slow down again to find his lost water bottle. After finding it, he sprints towards the finish line.

• Tom is jogging in the park. He maintains a steady pace throughout his jog, only stopping once at the halfway point to stretch before continuing at the same pace.

• Tom is jogging in the park. He starts with a quick pace, then slows down significantly as he gets tired. He stops completely to catch his breath, then walks slowly back to the starting point.

• Tom is jogging in the park. He begins his jog at a moderate pace, then gradually increases his speed throughout without stopping until he reaches the end of his route.

Tags

CCSS.HSF.IF.B.4

The graph below represents Mark's drive time on his way to work.

• Mark's car is stopped at intervals 2 and 5.

• Mark's car is increasing speed at intervals 2 and 4.

• Mark's car is decreasing speed at intervals 1, 3, and 5.

• Mark's car is driving faster in interval 4 than interval 3.

Answer explanation

Mark's car is stopped at intervals 2 and 5, as shown by the flat lines on the graph indicating no movement during those intervals.

Tags

CCSS.HSF.IF.B.4