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
kramer
3 years ago
13

Biologists have observed that the chirping rate of crickets is linearly related to temperature. A cricket produces 120 chirps pe

r minute at 70 F and 168 chirps per minute at 80 F. a) Write a linear equation in slope-intercept form that gives temperature as a function of the number of chirps per minute. Be sure to tell me what your variables stand for. b) What is the temperature if the crickets chirp at 150 chirps per minute? c) Reverse this function to give the number of chirps per minute as a function of temperature.
Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

Answer:

a)   t = 5/24 c + 45.

b)  76 degrees F.

c)   c = (24/5) t - 216.

Step-by-step explanation:

a)      The rate of temperature change to number of chirps per minute =   (80-70) / (168 - 120)

=   10 / 48 = 5/24.

So we can write the equation as t = 5/24 c + b  where t = temperature, c = number of chirps and b is a constant.

Plugging in the values  t = 70 and c = 120 we can find the value of b:

70 = (5/24) * 120 + b

b = 70 -  5*5

b = 45

So the required equation is

t = 5/24 c + 45.

b)          When   number of chirps is 150:

Temperature t = (5 *150) / 24 + 45

= 76 degrees F.

c)   Reversing the process

t = 5/24 c + 45

5/24 c = t - 45

c =  (24/5) t - 45 * 24/5

c = (24/5) t - 216.

You might be interested in
How do I do this problem??
Montano1993 [528]
The answer to this problem is 1 :)
8 0
3 years ago
What is the slope for y = 2x + 5
Crank
Answer: 2

(The slope is always the coefficient of the independent variable, in this case x . The slope is therefore 2.)
4 0
2 years ago
Read 2 more answers
A line that includes the point (4,3) has a slope of 8. What is its equation in point-slope form?
anzhelika [568]
............................................
3 0
2 years ago
Is the following relation a function? (1 point)<br><br> yes<br> no
IRINA_888 [86]

Answer:

yes I believe it is a function

3 0
3 years ago
If you are heading off to college discuss who will be paying for it, where you will live, what your intended major will be, and
Lilit [14]

Answer:I think it’s telling you to discuss this stuff with your family, idt this is a question I can really answer

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the ratio of 10,12
    12·1 answer
  • Rectangular garden that is 10 feet longer than it is wide. A sidewalk that is 3 feet in width surrounds the garden. The total ar
    6·1 answer
  • The temperature at noon on a cold winter day was -14.5F. by evening, the temperature had dropped by 3.2, what is the temperature
    6·1 answer
  • 7 people are having dinner at a restaurant and decide to split the cheque evenly between them. If the check came to a total of $
    8·1 answer
  • Find an angle 0 coterminal to 801°, where 0° &lt; 0 &lt; 360°.​
    8·1 answer
  • What is the smallest three-digit odd numb<br>that can be made from 2, 8,5, 1, 3?<br>​
    5·1 answer
  • Will give Brainlyst pic included
    14·1 answer
  • Solve for X ( 9th grade Algebra 1)
    14·2 answers
  • Fill in the missing number.<br><br> __% of 80 = 60
    15·2 answers
  • Can someone help me with these ignore the place your answer in the gridd
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!