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
choli [55]
3 years ago
11

According to wildlife experts, the rate at which crickets chirp per minute is a function of the temperature in degrees Fahrenhei

t. James observed that when the temp was 60 degrees, there were 84 chirps and when the temp was 85 degrees, there were 184 chirps. Write a linear function to model the relationship between the number of chirps and the temperature.
Mathematics
1 answer:
ozzi3 years ago
5 0

Answer:

Step-by-step explanation:

We will let the x coordinates be the temp and the y coordinates by the number of chirps. Our coordinates then will look like this:

(60, 84) and (85, 184). If this is linear, then first we will find the slope of the line which will tell us, in the context of this problem, how many chirps a cricket gives per 1 degree of temp increase.

The slope formula is:

m=\frac{y_2-y_1}{x_2-x_1} and filling in our numbers:

m=\frac{184-84}{85-60}=\frac{100}{25}= 4

This means that for every 1 degree temp increase, a cricket will give 4 chirps. That's the m value in y = mx + b. Now we will pick one of the coordinates, doesn't matter which one, and use those x and y values in the point-slope form of a line to get the equation. I will choose (60, 85), just because. Using the other point will give you the exact same line equation, I PROMISE!

Using 85 as y1 and 60 as x1 in

y - y1 = m(x - x1) gives us

y - 85 = 4(x - 60) and

y - 85 = 4x - 240 and

y = 4x - 240 + 85 and

y = 4x - 155

You might be interested in
(4 x 5)2 - 6 + 3 = ?
Mamont248 [21]

Answer:37

Step-by-step explanation:You multiply the ones that are in the parenthes

6 0
3 years ago
Read 2 more answers
In the past month, Tammy rented 1 video game and 3 DVDs. The rental price for the video game was $2.20. The rental price for eac
Zepler [3.9K]

Answer:

$9.60

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the value of x.<br><br> F) 6m<br> G) 7.5m<br> H) 15m<br> I) 21m
Xelga [282]

Answer:

x = 6 m

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here A = 60, h = 8, a = 9 and b = x , thus

\frac{1}{2} × 8 × (9 + x) = 60, that is

4(9 + x) = 60 ( divide both sides by 4 )

9 + x = 15 ( subtract 9 from both sides )

x = 6 m

7 0
3 years ago
Determine the exponential function that satisfies the given conditions.
zavuch27 [327]

Answer: 0.8(.50)^t/5

Step-by-step explanation:

P(t)= p^0(1+-r)^t

0.8= initial mass

.50= 100/2-> halving

t/5= how many times for every 5 days

4 0
3 years ago
Last week, the price of cherries at the corner deli was $4.99 per pound. This week, cherries at the same deli are on sale at a 1
sergij07 [2.7K]

Answer:

The price for 3.75 pounds of cherries is $17.775.

Step-by-step explanation:

The price las week was $ 4.99 and it got a discount of 15% for this week, this means that the price for this week is 100% of the one prior minus 15%, therefore it is 85% of the last price. We need to calculate the price per pound with this discount as shown below:

\text{this week} = \text{last week}*\frac{95}{100}\\\\\text{this week} = 4.99*0.95 = 4.74 \text{ per pound}\\

Since the price is $4.74 per pound and we want to buy 3.75 pounds, then the total amount we need to pay is:

\text{total amount} = 3.75*4.74 = 17.775

The price for 3.75 pounds of cherries is $17.775.

6 0
3 years ago
Other questions:
  • Find the Mean and MAD of the data set: 7, 6, 17, 8, 7, 9
    11·2 answers
  • What expressions are equivalent to 735 divided by 100
    6·1 answer
  • The cost of going to the big playland park for a family is given by C = 15x + 50, where C represents the cost and x represents t
    7·1 answer
  • One kind of plant has only blue flowers and white flowers. According to a genetic model, the offsprings of a certain cross have
    9·1 answer
  • In the diagram shown, angles 1, 2, and 3 are congruent. The measure of / is 4° greater than the measure of /. The sum of the mea
    8·1 answer
  • PLZ ANSWER ILL GIVE BRAINLIEST
    8·1 answer
  • Marco decides to take out a $4,000 student loan during his first year in college. If he is charged 10% interest that is compound
    9·2 answers
  • Alex is decorating a circular cake. She wants to place a triangle with the longest possible side within the circle. The radius o
    6·1 answer
  • The question is in the pic pls help
    5·1 answer
  • A steel mill manufactures steel plates. The average number of flaws in the steel is 1.28 flaws per square foot. Find the probabi
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!