Middle School

The formula \( f = \frac{n}{4} + 37 \) estimates the temperature \( F \) in degrees Fahrenheit when crickets chirp \( n \) times per minute.

Use the formula to estimate the temperature when \( n = 18 \) chirps/min.

Round to the nearest whole number, if necessary.

Options:
A. 41
B. 42
C. 37
D. 46

Answer :

[tex]f=\dfrac{n}{4}+37\\\\\text{substitute the value of n = 18 to the expression}\\\\f=\dfrac{18}{4}+37=4.5+37=41.5\approx42[/tex]

Answer: f = 42.

By using substitution of value n, temperature F in degree Fahrenheit is 42.

What is substitution method?

"The substitution method is a simple way to solve a system of linear equations algebraically and find the solutions of the variables."

Given

Formula to estimate the temperature F in degree Fahrenheit

f = [tex]\frac{n}{4} +37[/tex]

n = 18 chirps/min

Substituting n in the formula

f = [tex]\frac{n}{4} +37[/tex]

⇒ f = [tex]\frac{18}{4}+37[/tex]

⇒ f = 4.5 + 37

⇒ f = 41.5 ≅ 42 (nearest whole number)

Thus, temperature F in degree Fahrenheit is 42.

Learn more about substitution method here

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