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Where Richard lives, the average high temperature in March is [tex]$53.7^{\circ} F$[/tex]. The average low temperature in March is [tex]$42.1^{\circ} F$[/tex]. Which equation best estimates the difference between the average high and low temperatures in March?

A. [tex][tex]$54 - 42 = 12$[/tex][/tex]
B. [tex]$53 - 43 = 10$[/tex]
C. [tex]$53 - 42 = 11$[/tex]

Answer :

To find the difference between the average high and low temperatures in March where Richard lives, we can follow these steps:

1. Identify the Average Temperatures:
- The average high temperature in March is [tex]\(53.7^{\circ} F\)[/tex].
- The average low temperature in March is [tex]\(42.1^{\circ} F\)[/tex].

2. Calculate the Difference:
- To find the difference between these temperatures, subtract the average low temperature from the average high temperature.
- [tex]\[ \text{Difference} = 53.7 - 42.1 = 11.6 \][/tex]

3. Analyze the Options:
- Let's now match the calculated difference with the given choices:
- A. [tex]\(54 - 42 = 12\)[/tex]
- B. [tex]\(53 - 43 = 10\)[/tex]
- C. [tex]\(53 - 42 = 11\)[/tex]

4. Select the Best Option:
- The closest estimate to 11.6 from the provided options is [tex]\(11\)[/tex], which corresponds to option C: [tex]\(53 - 42 = 11\)[/tex].

Thus, the equation that best estimates the difference between the average high and low temperatures in March is option C: [tex]\(53 - 42 = 11\)[/tex].

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