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
Paladinen [302]
3 years ago
15

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

After 9 hours of burning, a candle has a height of 24.5 centimeters. After 23 hours of burning, its height is 17.5 centimeters. What is the height of the candle after 21
hours?
___ centimeters
Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)

m=\frac{17.5-24.5}{23-9}

m=-0.5

\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b

y=\left(-0.5\right)x+b

\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5

24.5=\left(-0.5\right)\cdot \:9+b

24.5=\left(-0.5\right)\cdot \:9+b

-4.5+b=24.5

b=29

\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29

y=-0.5x+29

Now plug in x=21, we get

y=-0.5*21+29=18.5

Thus the height of the candle after 21 hours is 18.5 centimeters.

You might be interested in
marking brainlist. please help What is the first inverse operation for the following problem? 3x+4=12
Strike441 [17]

Answer:

3x + 4 = 12 :- x = 8 / 3

Step-by-step explanation:

3x + 4 = 12

Move all terms not containing x to the right side of the equation.

Subtract 4 from both sides of the equation.

3x = 12 - 4

Subtract 4 from 12.

3x = 8

Divide each term by 3 and simplify.

Divide each term in 3x = 8 by 3.

3x / 3 = 8 / 3

Cancel the common factor of 3.

Divide x by 1.

x = 8 / 3

The result can be shown in multiple forms.

Exact Form:

x = 8 / 3

Decimal Form:

x = 2.6

Mixed Number Form:

x = 2 2/3

3 0
2 years ago
A store offers four different brands of a product. It decides to eliminate the brand that is most likely to be returned. The tab
STatiana [176]

Answer: brand C

Step-by-step explanation:

i just took the quiz

6 0
3 years ago
The width of a rectangle is 12 units. Can the perimeter x of the rectangle can be 60 units when its length y is 18 units? (1 poi
juin [17]

If the width is 12 and the length is 18, the perimeter of the rectangle is 12 + 12 + 18 + 18, or 60. So yes the perimeter can be 60.

8 0
2 years ago
John's dog weighs 16 lbs, John's dog weighs 3 times as many lbs as Jim's dog. How much does Jim's dog weigh?
alexandr402 [8]
16*3=48
Jim’s dog weighs 48 pounds/lbs

Please mark brainliest :)
6 0
2 years ago
Read 2 more answers
The question in the picture please help.
Iteru [2.4K]

Answer:

a

Step-by-step explanation:

because i got it right

7 0
1 year ago
Other questions:
  • Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
    6·1 answer
  • The greatest integer function and absolute value function are both examples of functions that can be defined as...
    15·1 answer
  • What is the answer to this problem?-5=2/9 (2-1)
    6·1 answer
  • What is the distributative answer to 85 divided by 5
    8·2 answers
  • Each bottle of apple juice costs $2.40 and each bottle of orange juice costs $2.20. If James has $50.80 and wants to buy 10 bott
    5·1 answer
  • Show if the following expressions are equivalent
    5·1 answer
  • Which of the following is not a scatter plot below?
    15·1 answer
  • A pilot flew a 400-mile flight in 2.5 hours flying into the wind. Flying the same rate and with the same wind speed, the return
    5·2 answers
  • What is the angle that forms from the two vectors below? *<br> v= &lt;-12,5&gt;, w= &lt;3,-10&gt;
    8·1 answer
  • Jennifer had to finish 3 assignments during the week.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!