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
worty [1.4K]
3 years ago
15

John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper

atures to Fahrenheit. John determines 68°F is equivalent to 20°C and 86°F is equivalent to 30°C.
Which function models the relationship between Fahrenheit and Celsius?
Mathematics
2 answers:
Feliz [49]3 years ago
8 0

Answer:

The answer is 9/5c + 32

Setler79 [48]3 years ago
4 0

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

68=20a+b\\ \\86=30a+b

Subtract these two equations:

86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}

Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

You might be interested in
Find × in this proportion 16/X = x/4<br>x= <br><br>a. 64<br>b. 32<br>c. 16<br>d 8
fenix001 [56]
The answer to this question is D because 16 divided by 8 is 2 and 8 divided by 4 is 2. I hope this helps you :) 
6 0
3 years ago
Read 2 more answers
Pls help! I'm confused. Can you explain this if you can.
alexdok [17]

Answer:

From a <u>table</u>, for an ordered pair (0, y), <em>y</em> will not be <u>zero</u>. From a <u>graph</u>, the y-intercept will not be <u>zero</u>.  From an equation, it will have the form, y = mx + b where b is <u>≠ 0</u>.

Step-by-step explanation:

  • From a <u>table</u>, for an ordered pair (0, y), <em>y</em> will not be <u>zero</u>. If there is not a constant rate of change in the data displayed in a table, then the table represents a nonlinear nonproportional relationship.
  • From a <u>graph</u>, the y-intercept will not be <u>zero</u>. This means that it doesn't contain or go through the origin.  
  • From an equation, it will have the form, y = mx + b where b is <u>≠ 0.</u> (not equal to zero). If an equation is not a linear equation, it represents a nonproportional relationship. A <u>linear equation</u> of the form y = mx + b may represent either a <em>proportional</em> (b = 0) or <em>nonproportional</em> (b ≠ 0) relationship.  Therefore, when b ≠ 0, the relationship between <em>x</em> and <em>y</em> is <u>nonproportional</u>.
7 0
3 years ago
Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings
faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)  

\text{The amount of tax paid by Carys for 11000-43000}=0.20\times (32,000)

\text{The amount of tax paid by Carys for 11000-43000}=6400

\text{The amount of tax paid by Carys for the amount over 43000}=\frac{40}{100}\times (45,600-43,000)

\text{The amount of tax paid by Carys for the amount over 43000}=0.40\times (2600)

\text{The amount of tax paid by Carys for the amount over 43000}=1040

\text{The total amount of tax paid by Carys}=6400+1040

\text{The total amount of tax paid by Carys}=7440

Therefore, Carys paid an amount of $7,440 in tax.

6 0
3 years ago
Read 2 more answers
Select the correct answer.
Semenov [28]

Answer:

B

hope it helped

4 0
3 years ago
Which equation models the problem below if c represents the number of puppies whose eyes are closed?
True [87]
First you must take into account the variable that is being defined for this case:
 c = represents the number of puppies whose eyes are closed.
 We can then write the following equation:
 15 = 11 + c
 Rewriting the equation:
 11 + c = 15
 Clearing c:
 c = 15-11
 c = 4
 4 puppies have their eyes closed
 Answer:
 11 + c = 15
 4 puppies have their eyes closed
6 0
3 years ago
Read 2 more answers
Other questions:
  • 12 divided by what equals 9
    8·1 answer
  • What does 12.5= in pt
    8·1 answer
  • Find the area of the squared shaped traffic sign below that is requrieed to make this square-shaped traffic sign
    9·1 answer
  • Caleb is playing a word game with his father who likes to make up random words. If Caleb's father only makes up six letter words
    9·1 answer
  • I need help with this one please d÷12=1/6
    12·2 answers
  • Calisickleroye9vh please<br><br> answer
    8·1 answer
  • Appropriate units
    11·2 answers
  • Harry potter is at ollivanders wand shop. As we all know the wand must choose the wizard, so harry could not make the choice him
    11·1 answer
  • A survey of middle schools students found that 78% of the students enjoy playing sports more than watching sports.
    12·1 answer
  • Help me with this - Label the origin, X-axis, and y-axis.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!