1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Jet001 [13]
3 years ago
10

The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5

The average rate of change of f(t) from t = 2 to t = 6 is ______ thousand owners per year. Answer for Blank 1:
Mathematics
1 answer:
N76 [4]3 years ago
5 0
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.

At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)

The slope would then be

m = (9.5-3.5)/(6-2)
m = 1.5

Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
You might be interested in
A contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across. How many square
SOVA2 [1]

Answer:

A. 346.19 square feet.

Step-by-step explanation:

We have been given that a contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across.

To find the square feet of flooring required, we will find area of circle.

Since the length across the circle is 21 feet, so radius of circle will be half of 21 feet.

\text{Radius}=\frac{\text{21 feet}}{2}

\text{Radius}=\text{10.5 feet}

\text{Area of circle}=\pi r^2

\text{Area of circle}=\pi (\text{10.5 feet})^2

\text{Area of circle}=3.14*110.25\text{ feet}^2

\text{Area of circle}=346.185\text{ feet}^2

\text{Area of circle}\approx 346.19\text{ feet}^2

Therefore, 346.19 square feet of flooring will be required.

3 0
3 years ago
Read 2 more answers
-3(1-2x)-3=-20-8x what is the work and answer
larisa86 [58]
You have to keep order of operations in mind.

1. Take care of the parentheses; distribute.
-3+6x-3=-20-8x
Simplified: 6x-6=-20-8x

2. Isolate the x variable.
Add 8x to both sides and add 6 to both sides.
14x=-14

3. Solve for x.
Divide by 14 on both sides.
x=-1
4 0
3 years ago
Andrew rents bowling shoes for $4. He bowls 2 games. Andrew spent a total of $22. How much was the cost of each game, b? Complet
Aneli [31]

Answer:

2b + 4 = 22

b= 9, the cost of each game is $9

Step-by-step explanation:

8 0
3 years ago
5,000 lb equals how many tons
matrenka [14]
5000 pounds is equal to 2.5 tons because 1 ton is equal to 2000 pounds

8 0
3 years ago
Read 2 more answers
What is 54 rounded to the nearest 10
dsp73


54 rounded to the nearest 10 would be 50 because 54 is closer to 50 than 60.

So, the answer is 50.

Hope it helps

6 0
3 years ago
Read 2 more answers
Other questions:
  • What the best subject
    8·2 answers
  • If you get 12 how many do you have to get wrong to get an 58%
    15·1 answer
  • How many feet are in 8.72 mm?
    10·1 answer
  • A constructive company purchased seven house lots of the following sizes 1 3/8 acres , 2 1/8 acres. 1 1/8 acres , and 2 1/4 acre
    9·1 answer
  • 6. Ria purchased a car for
    7·1 answer
  • Helppp!!!!!! :(((((((((((((((((((((((((((((
    7·1 answer
  • Which angles!!! Need answers 40% of my grade please and thank you
    14·1 answer
  • Porque el factor común está relacionado con la propiedad distributiva​
    15·1 answer
  • EXTRA POINTS AND BRAINIEST IF CORRECT!! Someone Please help me with this.
    12·1 answer
  • Insert &lt;,&gt;,or = to make the following sentence true. square root of 17 and 4
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!