Question

1. the formula $f=\frac{9}{5}c + 32$ is used to convert degrees celsius ($c$) to degrees fahrenheit ($f$). find the value of $c$ if $f = 88^{circ}$. $c = 100.8^{circ}$ $c = 66.7^{circ}$ $c = 16.9^{circ}$ $c = 31.1^{circ}$

Explanation:

Step1: Substitute F value into formula

Given $F=\frac{9}{5}C + 32$ and $F = 88$, we get $88=\frac{9}{5}C+32$.

Step2: Isolate the term with C

Subtract 32 from both sides: $88 - 32=\frac{9}{5}C$, so $56=\frac{9}{5}C$.

Step3: Solve for C

Multiply both sides by $\frac{5}{9}$: $C = 56\times\frac{5}{9}=\frac{280}{9}\approx31.1$.

Answer:

$C = 31.1^{\circ}$