Question

At a temperature of t degree Fahrenheit, sound travels S feet per second, where S=21.9sqrt(5t+2457). During blasting for avalanche control in the mountains, sound traveled at a rate of 1110 ft/sec. what is the temperature

Answer 1

Well, I believe S would equal 1110

Answer 2

Can you work it out from there?

Answer 3

@brokenstanzas I'm just confused how
To get the t out of the square root cause I'm pretty sure I have to solve for that not S.

Answer 4

This is what it looks like for reference

Answer 5

That would be the next step after substituting 1110 for S since you can get much of an answer if you try to solve it with two variables.
After the substitution, you would square \[\sqrt{5t+2457}\] and solve from there

Answer 6

@brokenstanzas so I got 1110=21.9(5t)+2457

Answer 7

What would the answer be I'm still stuck

Answer 8

\[\frac{ 1110 }{ 21.9 }=\sqrt{5t+2457}\]
\[\left( \frac{ 11100 }{ 219 } \right)^2=5t+2457\]
\[\left( \frac{ 3700 }{ 73 } \right)^2-2457=5t\]
find t

Answer 9

@sshayer I got 22 as my final answer