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
Alina [70]
3 years ago
11

Entomologists have discovered that a linear relationship exists between the rate of chirping of crickets of a certain species an

d the air temperature. When the temperature is 60°F, the crickets chirp at the rate of 80 chirps/min, and when the temperature is 80°F, they chirp at the rate of 160 chirps/min. (a) Find an equation giving the relationship between the air temperature T and the number of chirps per min N of the crickets. N= (b) Use this function to determine the rate at which the crickets chirp when the temperature is 102 F chirps/min Need Help? Read It
Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

a) y=4x-160

b) y=4(102)-160=248\frac{chirps}{min}

Step-by-step explanation:

We know that theres a <u><em>linear relationship</em></u> between the rate of the chirping of crickets and the air temperature.

<u><em>The equation of a line is</em></u>:

y=mx+b

So, let's name our variables

x= Temperature

y=Rate of the chirping

First of all, we need to find the <u><em>slope</em></u> with the two given points

x_{1}=60ºF , y_{1} =80\frac{chirps}{min}

x_{2} =80ºF, y_{2} =160\frac{chirps}{min}

By,

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } =\frac{160-80}{80-60}

m=4

<u>Now, the </u><em><u>equation</u></em><u> between the air temperature and the number of chirps is:</u>

y-y_{1} =m(x-x_{1} )

y-80=4(x-60)

Solving for y,

a) y=4x-160

b) <u>To calculate the </u><u>rate</u><u> at which the crickets chirp when the </u><u>temperature is 102 ºF</u><u> we need to evaluate y(102)</u>

y=4(102)-160=248\frac{chirps}{min}

You might be interested in
Write the equation of the line passing through points (2,-2) and (1,0) in slope intercept form.
katrin2010 [14]

Answer:

y=-2x+2

Step-by-step explanation:

hope it helps!

8 0
2 years ago
Read 2 more answers
3(2v+5)=33 what does v equal
OLga [1]

Answer: The answer is V = 3.

3 0
2 years ago
Read 2 more answers
What is the value of x?<br><br><br><br> Enter your answer in the box.<br> |x = °|
Serga [27]
X+30+70=180
x+100=180. -100 both sides
x=80

|x=80° |
8 0
3 years ago
You plan on buying new flooring for your bedroom. Your bedroom is a rectangle that is 12.7 ft. by 14.25 ft. How many square feet
joja [24]

Answer:

180.975 square feet

Step-by-step explanation:

est: 181 square feet

4 0
3 years ago
H Quarshie
Yuki888 [10]

Answer:

28

Step-by-step explanation:

f(6) = -3 * 6 + 10 = -18 + 10 = -8

g(f(6)) = g(-8)

g(-8) = (-8)^{2} + 3 * (-8) - 12 = 64 - 24 - 12 = 64 - 36 = 28

6 0
3 years ago
Other questions:
  • Please answer the question from the attachment.
    5·2 answers
  • Could someone please help with this question
    14·2 answers
  • The price of a sweater was reduced from $20 to $12, By what percentage was the price of the sweater reduced?
    10·2 answers
  • The expression x - 2 is a factor of p(x) = x 5 - 4x 3 + 2x 2 - 4x + 1 true or false
    6·1 answer
  • Emma is a sales clerk at a bicycle shop. She is paid $8.50 per hour for 32 hours workweek plus a commission of 6% of sales. In o
    10·1 answer
  • Solve for x and then type the answer. Just type the number. If there are 2 answers, then type both numbers, separated by a comma
    14·1 answer
  • If f(x) and it’s inverse function, f^-1(x), are, both plotted on the same coordinate plane, what is their point of intersection
    5·1 answer
  • Taylor Scuff leased a new sports car and is certain she can keep under the 12,000 miles allowed a year. The $2,200 due at signin
    10·1 answer
  • The blue dot is at what value on the number line? -6<br>-4​
    5·1 answer
  • What is the simplest form of the product?<br> SqRt 63x^5y^3 • sqRt 14xy8
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!