Question

Need the answer to these ASAP.

Write and solve an expression to show how to calculate the number of buses needed. Make sure to include parenthesis to show what should be done first since order of operations is important. Example: (4 + 6) x (4 - 2) ÷ 21
What was the exact answer to your expression for number of buses in part 1 and how many buses will actually be needed?
Why must the rounded answer to the problem be a whole number?
Can your exact answer from part 1 (before rounding) be classified as a rational number? Explain why or why not.

Answer 1

Sure, here's an expression to calculate the number of buses needed:

Total Buses = (Number of People) / (Bus Capacity per Bus)

Let's say there are 250 people and each bus can carry 40 people:

Total Buses = (250) / (40) = 6.25

The exact answer is 6.25 buses. However, since you can't have a fraction of a bus, you would round up to the nearest whole number, which is 7 buses. The rounded answer must be a whole number because you can't have a fraction of a bus – buses are discrete units.

The exact answer from part 1 (6.25) can be classified as a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where q is not equal to zero. In this case, 6.25 can be expressed as 25/4, where both 25 and 4 are integers, and 4 is not zero. Therefore, 6.25 is a rational number.

Answer 2

Suppose the equation is:

(2 + 3) x (10 - 4) ÷ 2

To solve this expression, we follow the order of operations:

Step 1: Evaluate the expressions within the parentheses:

(2 + 3) = 5
(10 - 4) = 6

Step 2: Perform the multiplication:

5 x 6 = 30

Step 3: Perform the division:

30 ÷ 2 = 15

The expression for the number of buses in this example is 15.

The rounded answer to the problem must be a whole number because the number of buses needed cannot be a fraction or a decimal. Buses are discrete units, and you cannot have a fraction of a bus. When determining the number of buses required, it always needs to be a whole number.

The exact answer from part 1 (before rounding) can be classified as a rational number. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. The exact answer of 15 can be expressed as 15/1, which is a fraction with integers in both the numerator and denominator.