Question

1. sonias doctor said to call if her temperature is over 38°c. her thermometer shows temperature in degrees fahrenheit. to convert, she uses the formula

c = \frac{5}{9}(f - 32),

where c is degrees celsius and f is degrees fahrenheit. to the nearest tenth, what is the least fahrenheit temperature for which sonia should call her doctor? mp 7

Explanation:

Step1: Substitute \(C = 38\) into the formula

Given \(C=\frac{5}{9}(F - 32)\), when \(C = 38\), we have \(38=\frac{5}{9}(F - 32)\).

Step2: Solve for \(F\)

First, multiply both sides by \(\frac{9}{5}\): \(38\times\frac{9}{5}=F - 32\).
\(38\times\frac{9}{5}=\frac{342}{5}=68.4\). So \(68.4=F - 32\).
Then add 32 to both sides: \(F=68.4 + 32\).
\(F = 100.4\).

Answer:

\(100.4\)