Question

carmen is planning on visiting minneapolis next week on business. checking her worldtemp app, she notices that on the day she arrives, the high temperature is forecast to be 9.7 °f. what is this temperature in degrees celsius (°c)? use the given formulas as necessary, and round your answer to the nearest tenth of a degree. formulas: $c = \frac{5}{9}(f - 32)$ $f=\frac{9}{5}c + 32$

Explanation:

Step1: Identify the given values

Given $F = 9.7$.

Step2: Substitute into the formula

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 9.7$ into it: $C=\frac{5}{9}(9.7 - 32)$.

Step3: Calculate the value inside the parentheses

$9.7-32=-22.3$. So $C=\frac{5}{9}\times(-22.3)$.

Step4: Perform the multiplication

$C=\frac{- 111.5}{9}\approx - 12.4$.

Answer:

$-12.4$