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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Probability

Grade: 1400-a Lesson: S4-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	If a factory produces 500 units of a product every hour, what fraction of the first 24,000 units are produced in the first 2 days?
2	Step	Calculate the total production in the first 2 days The factory produces 500 units per hour and there are 24 hours a day, the daily production is 500 units / hour × 24 hours / day = 12,000 units / day
3	Step	Determine the fraction of the first 24,000 units produced in the first 2 days: The factory produces exactly 24,000 units in the first 2 days, the fraction is: → \$("Units produced in 2 days")/("first 24000 units")\$ → \$24000/24000\$ = 1
4	Step	Therefore, the fraction of the first 24,000 units produced in the first 2 days is 1.
5	Choice.A	This option is incorrect because it shows only one-sixth of the 24,000 units were produced in the first 2 days, which is incorrect as shown by our calculation	\$1/6\$
6	Choice.B	This option is correct because 1 unit will be produced in first 2 days	1
7	Choice.C	This option is incorrect because it implies that only one-tenth of the total 24,000 units are produced in the first 2 days	\$1/10\$
8	Choice.D	This option is incorrect because when we calculate \$1/12\$ it will result in 2000 units which is far greater than our caluculation	\$1/12\$
9	Answer	Option	B
10	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

If a factory produces 500 units of a product every hour, what fraction of the first 24,000 units are produced in the first 2 days?

Step

Calculate the total production in the first 2 days The factory produces 500 units per hour and there are 24 hours a day, the daily production is

500 units / hour × 24 hours / day = 12,000 units / day

Step

Determine the fraction of the first 24,000 units produced in the first 2 days:
The factory produces exactly 24,000 units in the first 2 days, the fraction is:

→ \$("Units produced in 2 days")/("first 24000 units")\$

→ \$24000/24000\$ = 1

Step

Therefore, the fraction of the first 24,000 units produced in the first 2 days is 1.

Choice.A

This option is incorrect because it shows only one-sixth of the 24,000 units were produced in the first 2 days, which is incorrect as shown by our calculation

\$1/6\$

Choice.B

This option is correct because 1 unit will be produced in first 2 days

Choice.C

This option is incorrect because it implies that only one-tenth of the total 24,000 units are produced in the first 2 days

\$1/10\$

Choice.D

This option is incorrect because when we calculate \$1/12\$ it will result in 2000 units which is far greater than our caluculation

\$1/12\$

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?