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
irina1246 [14]
3 years ago
5

A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the

hill is given by any equals 7500 - 250 D where D can be any number from 0 to 6 find the slope and intercepts of the graph of this function explain what they mean in the context of the moving car​
Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.

Step-by-step explanation:

You might be interested in
If California has 6,480 residents and each resident produces about 182 cubic feet of garbage per year, how long can the landfill
svetoff [14.1K]

Answer:

0

Step-by-step explanation:

Just 4 people per year would overflow the landfill, how would it survive 6480 people?

5 0
3 years ago
Serena was planning out her model railroad setup, and wants to be able to boast about it on her social media. She wants the cent
DerKrebs [107]

Answer:4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
yawa3891 [41]
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V =  4/3 pi * 6^3
V = 288 * pi

Step two 
Find the radius of the cylinder

<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm

<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
288 cm^3 = 4.5 r^2              Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

4 0
3 years ago
Find the next number in the sequence 1, 1/4, 1/9 , 1/16, 1/25
Umnica [9.8K]
(Add5) 1/9..(add 7) 1/16... (add9) 1/25... (add 11) and get -> 1/36
3 0
3 years ago
5x^2 + 19x + 12=0<br> how do i figure this out
zlopas [31]

Answer:

x=−4/5 or x=−3

Step-by-step explanation:

Step 1: Factor left side of equation.

(5x+4)(x+3)=0

Step 2: Set factors equal to 0.

5x+4=0 or x+3=0

x=−4/5 or x=−3

3 0
2 years ago
Other questions:
  • Chet is a salesman whose base pay plus commissions amounted to $48,560 last year. If his base pay was $22,380 and he made $74,80
    7·2 answers
  • Need answer ASAP
    5·1 answer
  • Expand the following 1/5 (10 X -25)
    11·2 answers
  • Which of these is longest distance 0.1203km or 123m or 1230cm or 12030mm
    12·1 answer
  • jocelyn is playing a game she gains 4 points, looses 8 points, and gains 3 points.what is her final score?
    12·1 answer
  • A wire is bent to form four semi circles. How long is the wire to the nearest hundredths, when each wire is 32cm?
    14·1 answer
  • What is the principal, if the interest earned is $22, the simple annual interest rate is 2%, and the time is one year?
    7·1 answer
  • A pianist charges $200 to perform at a restaurant. At the end of the night she collected her tips and left with a total earning
    7·2 answers
  • Select the correct answer.
    15·1 answer
  • Which one of these numbers is a composite number a.17 b.51 c.97 d.89
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!