It was 38° at noon on Friday. A storm moved into the area and the temperature dropped 49 degrees in three hours. What is the temperature at 3:00 on Friday? Write the Expression and... It was 38° at noon on Friday. A storm moved into the area and the temperature dropped 49 degrees in three hours. What is the temperature at 3:00 on Friday? Write the Expression and Solve. As a cold front passed through an area, the temperature changed by an average of -4°F per hour for 3 hours. What was the total temperature change as the front passed? Write the Expression and Solve. The city's budget is $8,000,000. The city actually spends $12,000,000. What is the city's deficit? Write the Expression and Solve. The local movie theater reported losses of $475 each day for three days. What was the loss for the three days? Write the Expression and Solve. Estimate the Square Root to the Nearest 10th.
Understand the Problem
The question involves solving a series of mathematical expressions and word problems, specifically focusing on temperature changes, budget calculations, and losses from a movie theater over three days.
Answer
- Temperature at 3:00 PM: $-11^\circ F$ - Total temperature after the cold front: $-23^\circ F$ - City's deficit: $-4,000,000$ - Movie theater loss: $-1,425$
Answer for screen readers
- The temperature at 3:00 PM on Friday is $-11^\circ F$.
- The total temperature change due to the cold front is $-23^\circ F$.
- The city's budget deficit is $-4,000,000$.
- The total loss for the local movie theater is $-1,425$.
Steps to Solve
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Calculate the Temperature at 3:00 PM on Friday
Start with the noon temperature: 38°F. The temperature drops by 49°F due to a storm.
The expression is: $$ 38 - 49 $$ Performing the calculations: $$ 38 - 49 = -11 $$
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Determine the Total Temperature Change Over 3 Hours
After the cold front passes, the temperature changes by an average of -4°F per hour for 3 hours.
The expression for total change is: $$ -4 \times 3 $$ Performing the calculations: $$ -4 \times 3 = -12 $$
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Calculate the New Temperature After the Cold Front
Apply the total change from the second calculation to the final temperature obtained after the storm.
The final expression is: $$ -11 - 12 $$ Performing the calculations: $$ -11 - 12 = -23 $$
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Calculate the City's Budget Deficit
The budget is $8,000,000 and the actual expenditure is $12,000,000.
The expression is: $$ 8,000,000 - 12,000,000 $$ Performing the calculations: $$ 8,000,000 - 12,000,000 = -4,000,000 $$
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Calculate the Loss of the Local Movie Theater
The losses are $475 each day for 3 days.
The expression is: $$ 475 \times 3 $$ Performing the calculations: $$ 475 \times 3 = 1,425 $$ The total loss is $1,425, indicating a negative impact.
- The temperature at 3:00 PM on Friday is $-11^\circ F$.
- The total temperature change due to the cold front is $-23^\circ F$.
- The city's budget deficit is $-4,000,000$.
- The total loss for the local movie theater is $-1,425$.
More Information
The computations illustrate how temperature changes can impact a community's wellbeing and the importance of budgeting in municipal finance. Additionally, understanding how consistent losses can accumulate showcases financial management.
Tips
- Miscalculating operations involving negative numbers.
- Forgetting to account for all parts of a multi-step problem.
- Failing to properly relate expenditures to budget amounts.
