To solve the two problems, we'll address them separately.
Problem 1: Nathan's Walking Distance
Nathan is walking at a speed of 2.5 miles per hour. To find out how far he can walk in 1.75 hours, we can use the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Substituting in the values:
\[ \text{Distance} = 2.5 , \text{miles/hour} \times 1.75 , \text{hours} \]
Calculating the distance:
\[ \text{Distance} = 2.5 \times 1.75 = 4.375 , \text{miles} \]
So, Nathan can walk 4.375 miles in 1.75 hours.
Problem 2: Cost of Admission for the Science Club
The science club consists of 27 students. To calculate the total cost, we first need to know how many students fall into each age category, but since the problem does not provide that information, we'll calculate based on different scenarios.
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All students as children ages 4-11:
- Cost per child: $6.50
- Total cost: \[ \text{Total Cost} = 27 , \text{students} \times 6.50 , \text{dollars/student} = 27 \times 6.50 = 175.50 , \text{dollars} \]
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All students as children ages 12-17:
- Cost per child: $8.50
- Total cost: \[ \text{Total Cost} = 27 , \text{students} \times 8.50 , \text{dollars/student} = 27 \times 8.50 = 229.50 , \text{dollars} \]
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Mixed Ages:
- If you know the number of each age group, you can calculate both prices separately and then add them together for the total cost.
Without specific information about the distribution of ages among the 27 students, we provide the two extremes:
- Minimum total cost with all students aged 4-11: $175.50
- Maximum total cost with all students aged 12-17: $229.50
If you have more specifics about the age groups, feel free to provide them for an exact total cost.
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