Answer :
Sure, let's solve each part of the question step by step:
1. What is the temperature when a cricket chirps 52 times in 14 seconds?
To find the temperature, we use the formula where [tex]\( F \)[/tex], the temperature in degrees Fahrenheit, is a function of [tex]\( n \)[/tex], the number of chirps in 14 seconds.
The equation is: [tex]\( F = n + 40 \)[/tex].
Given that the cricket chirps 52 times, let's substitute [tex]\( n = 52 \)[/tex] into the equation:
[tex]\( F = 52 + 40 = 92 \)[/tex].
Therefore, the temperature is 92 degrees Fahrenheit.
2. Write an equation that defines [tex]\( F \)[/tex] as a function of [tex]\( n \)[/tex].
From the relationship provided, the temperature [tex]\( F \)[/tex] is related to the number of chirps [tex]\( n \)[/tex] by the formula:
[tex]\( F = n + 40 \)[/tex].
So, the equation that defines [tex]\( F \)[/tex] as a function of [tex]\( n \)[/tex] is [tex]\( F = n + 40 \)[/tex].
3. How many chirps would we expect to hear in 14 seconds when it is 60 degrees Fahrenheit?
Here, we need to find [tex]\( n \)[/tex] given that [tex]\( F = 60 \)[/tex].
We use the formula: [tex]\( F = n + 40 \)[/tex].
Rearranging the formula to solve for [tex]\( n \)[/tex], we get:
[tex]\( n = F - 40 \)[/tex].
Substitute [tex]\( F = 60 \)[/tex]:
[tex]\( n = 60 - 40 = 20 \)[/tex].
Therefore, we would expect to hear 20 chirps in 14 seconds when it is 60 degrees Fahrenheit.
4. Write an equation that defines [tex]\( n \)[/tex] as a function of [tex]\( F \)[/tex].
Based on the equation we used to find chirps given a temperature, we have:
[tex]\( n = F - 40 \)[/tex].
So, the equation that defines [tex]\( n \)[/tex] as a function of [tex]\( F \)[/tex] is [tex]\( n = F - 40 \)[/tex].
I hope this helps! If you have any more questions, feel free to ask.
1. What is the temperature when a cricket chirps 52 times in 14 seconds?
To find the temperature, we use the formula where [tex]\( F \)[/tex], the temperature in degrees Fahrenheit, is a function of [tex]\( n \)[/tex], the number of chirps in 14 seconds.
The equation is: [tex]\( F = n + 40 \)[/tex].
Given that the cricket chirps 52 times, let's substitute [tex]\( n = 52 \)[/tex] into the equation:
[tex]\( F = 52 + 40 = 92 \)[/tex].
Therefore, the temperature is 92 degrees Fahrenheit.
2. Write an equation that defines [tex]\( F \)[/tex] as a function of [tex]\( n \)[/tex].
From the relationship provided, the temperature [tex]\( F \)[/tex] is related to the number of chirps [tex]\( n \)[/tex] by the formula:
[tex]\( F = n + 40 \)[/tex].
So, the equation that defines [tex]\( F \)[/tex] as a function of [tex]\( n \)[/tex] is [tex]\( F = n + 40 \)[/tex].
3. How many chirps would we expect to hear in 14 seconds when it is 60 degrees Fahrenheit?
Here, we need to find [tex]\( n \)[/tex] given that [tex]\( F = 60 \)[/tex].
We use the formula: [tex]\( F = n + 40 \)[/tex].
Rearranging the formula to solve for [tex]\( n \)[/tex], we get:
[tex]\( n = F - 40 \)[/tex].
Substitute [tex]\( F = 60 \)[/tex]:
[tex]\( n = 60 - 40 = 20 \)[/tex].
Therefore, we would expect to hear 20 chirps in 14 seconds when it is 60 degrees Fahrenheit.
4. Write an equation that defines [tex]\( n \)[/tex] as a function of [tex]\( F \)[/tex].
Based on the equation we used to find chirps given a temperature, we have:
[tex]\( n = F - 40 \)[/tex].
So, the equation that defines [tex]\( n \)[/tex] as a function of [tex]\( F \)[/tex] is [tex]\( n = F - 40 \)[/tex].
I hope this helps! If you have any more questions, feel free to ask.
