CCSS.Math.Content.HSF.IF.B.6

Which of the following intervals has the largest average rate of change?

• [13,14]
• [13, 17]
• [16, 17]
• [16, 19]

Tags

CCSS.Math.Content.HSF.IF.B.6

What is Mrs. Gordon's rate from 0 to 2 seconds?

• 2.5 feet per second
• .4 feet per second
• 5 feet per second
• .2 feet per second

Tags

CCSS.Math.Content.HSF.IF.B.6

Find the rate of change

• 3
• -3
• 20
• Not a constant slope/Non-Linear

Tags

CCSS.Math.Content.HSF.IF.B.6

The position function x(t)=t³+6t²+16t-18 is given on the interval of 0<x<9. What is the velocity at t=6?

• 197
• 190
• 18
• 196

Tags

CCSS.Math.Content.HSF.IF.B.6

The population of elk in a region is shown in the table. 
Year      Population
  0              250
  1              230
  2              170
  3              190
  4              260
What is the average rate of change in the elk population between year 1 and year 3?

• -60 elk per year
• -40 elk per year
• -20 elk per year
• -10 elk per year

Tags

CCSS.Math.Content.HSF.IF.B.6

A researcher places two colonies of bacteria into two petri dishes that each have area 10 square centimeters. After the initial placement of the bacteria the researcher measures and records the area covered by the bacteria in each dish every ten minutes. The data for each dish were fit by a smooth curve, as shown above, where each curve represents the area of a dish covered by bacteria as a function of time, in hours. Which of the following is a correct statement about the data above?

• At time t = 0, both dishes are 100% covered by bacteria.

• At time t = 0, bacteria covers 10% of Dish 1 and 20% of Dish 2.

• At time t= 0, Dish 2 is covered with 50% more bacteria than Dish 1.

• For the first hour, the area covered in Dish 2 is increasing at a higher average rate than the area covered in Dish 1.

Tags

CCSS.Math.Content.HSF.IF.B.6

At what rate did the rain fall?

• 2 cm per hour
• ¹/₄ cm per hour
• ¹/₂ cm per hour
• 4 cm per hour

Tags

CCSS.Math.Content.HSF.IF.B.6

Use the given function or the graph to find the average rate of change

• 5

• -1/5

• -5

• 15

Tags

CCSS.Math.Content.HSF.IF.B.6

A rocket is 1.5 miles above the Earth in 20 seconds and is 8 miles above the Earth in 2 minutes. What is the rocket's rate of change in miles per second?

• 0.065 mps

• 0.361 mps

• 3.892 mps

• 4.145 mps

Tags

CCSS.Math.Content.HSF.IF.B.6

 $f\left(x\right)=15x+13$  Which is the average rate of change over the interval [0,10]?

• 15

• 5

• 0

• 13

Tags

CCSS.Math.Content.HSF.IF.B.6