Question

the expression for degrees fahrenheit is $\frac{9}{5}c + 32$, where c represents degrees celsius. the temperature today is 5 degrees celsius more than yesterday. write and simplify an expression for the difference in degrees fahrenheit for these two days. an expression is
the difference is °f

Explanation:

Step1: Let yesterday's Celsius temperature be $C$.

Today's Celsius temperature is $C + 5$.

Step2: Calculate yesterday's Fahrenheit temperature.

Yesterday's Fahrenheit temperature $F_y=\frac{9}{5}C + 32$.

Step3: Calculate today's Fahrenheit temperature.

Today's Fahrenheit temperature $F_t=\frac{9}{5}(C + 5)+32=\frac{9}{5}C+9 + 32=\frac{9}{5}C+41$.

Step4: Find the difference in Fahrenheit temperatures.

The difference $\Delta F=F_t - F_y=(\frac{9}{5}C + 41)-(\frac{9}{5}C + 32)$.

Step5: Simplify the expression.

$\Delta F=\frac{9}{5}C+41-\frac{9}{5}C - 32=9$.

Answer:

An expression is $(\frac{9}{5}(C + 5)+32)-(\frac{9}{5}C + 32)$
The difference is $9^{\circ}F$