Question

A newspaper reports the following changes in the temperature of a city over 4 days:

3.24 degrees Celsius,
-3 over 8
degrees Celsius, -0.15 degrees Celsius, 7 over 9 degrees Celsius

Write an expression to show the average daily change in the temperature of the city.
Write the steps to solve the expression. Round your answer to the nearest hundredth.

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}♨`

We have been given the temperature of a city over five days, and we have to calculate average daily change in temperature of the city.

`\qquad \tt \dashrightarrow \: \{3.24 + ( - (3)/(8) ) + ( - 0.15) + (7)/(9) \} / 4`

`\qquad \tt \dashrightarrow \: \{3.24 - 0.375 - 0.15+ 0.78 \} / 4`

`\qquad \tt \dashrightarrow \: \{4.02 - 0.525 \} / 4`

`\qquad \tt \dashrightarrow \: \{3.495\} / 4`

`\qquad \tt \dashrightarrow \:\approx0.874 \degree c`

Answer 2

0.87

Explanation:

The average daily change is the sum of daily changes divided by the number of days:

(3.24 -3/8 -0.15 +7/9)/4

= (3.492777...(repeating 7))/4

= 0.87319444...(repeating 4)

Rounded to hundredths, this is ...

0.87 °C average daily change

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Any calculator will compute the value of the expression we started with.