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
How many grams of barium chloride are there in 0.200 moles
Anni [7]
There are 41.646600000013 grams of barium chloride in 0.200 moles
5 0
3 years ago
Last year Mr. Christian‘s class had 30 students .this year the number of students in his class is 150% of the number of students
kow [346]

Answer:

He has 45 kids now.

Step-by-step explanation:

3 0
2 years ago
Lisa arranges 6 square paintings. The area is 225 cm2. What would it cost Lisa to frame her arrangement at a cost of 12 cents pe
Kobotan [32]
I think it may be 2700, but I'm not sure
7 0
3 years ago
Read 2 more answers
7-41=<br><br> (-15)+33=<br><br> 62-84=<br><br> (-26)-14=
Gala2k [10]

Answer:

-34

18

-22

-40

Explanation:

8 0
3 years ago
Find the solution to the equation 4x + 17 = 23
Ann [662]

Answer:

x= 3/2 or x=1.5

Step-by-step explanation:

subtract 17 to the other side of the equation.

Next you divide both sides of the equation by 4.

You have your answer :)

7 0
3 years ago
Other questions:
  • veronica is saving money to buy a saddle for her horse that cost $175 . She plans to save 10 the first one and then increase the
    12·1 answer
  • Use the formula A = Ibh find the height to the nearest tenth of a triangle with a base of 15 and an area of 200.​
    13·1 answer
  • Mario’s house has a rectangular door and a rectangular window that are similar shapes. Each dimension of the door is 1.8 times t
    15·2 answers
  • What is meant by holding all else equal and how is this concept used when discussing movements along the demand​ curve?
    5·1 answer
  • Is there 32 thousands in 32,601
    15·1 answer
  • Hi i need help i have class in 30 min! &lt;3
    7·1 answer
  • A greater number than -8​
    8·1 answer
  • A arcade game gives 8 tickets ,y, for every 5 games played,x.
    11·1 answer
  • 2x - 3y = 6<br> 3x + y = 32
    7·1 answer
  • Evaluate the expression when p=7. 3p²
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!