A newspaper reports the following changes in the temperature of a city over 4 days: 1.34 degrees Celsius, negative 5 over 7 degrees Celsius, −0.75 degrees Celsius, 4 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.
ill give medal and fan for answer pls help
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@DangerousJesse
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There are 4 temperatures given. To find the average, add the 4 numbers and divide by 4. "Write an expression to show the average daily change in the temperature of the city." The expression is: numerator: temperature 1 + temperature 2 + temperature 3 + temperature 4. Denominator: 4 (just substitute the values for each temperature.)
oh ok thx
For part b) since they want the answer in decimal rounded to two decimal places, convert each fraction in the numerator to decimal, add the numbers and divide by 4. Round the answer to two decimal places.
\(\large { \begin{array}{cccllll} x&y \\\hline\\ {\color{red}{ 1}}&{\color{blue}{ 1.34}}\\ 2&-\frac{5}{7}\\ 3&-0.75\\ {\color{red}{ 4}}&{\color{blue}{ \frac{4}{9}}} \end{array}\qquad slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}} \\ \quad \\\\ \quad \\\\ \quad \\ y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{point-slope form} }\)
the slope will give you the "average rate of change" thus
a) Average daily change in the temperature = \[\frac{1.34 + (-5/7) + (-0.75) + 4/9}{4} = \frac{1.34 - 5/7 - 0.75 + 4/9}{4} \]b) Convert fractions to decimals: Average daily change in the temperature = \[\frac{1.34 + (-5/7) + (-0.75) + 4/9}{4} = \frac{1.34 - 0.71 - 0.75 + 0.44}{4} = \frac{0.32}{4} = 0.08 \]
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