Respuesta :
Answer:
a) $4.317 per hour
b) $5.827 per hour
Step-by-step explanation:
Given:
Poverty threshold for an individual = $8,980
Poverty threshold for two-person household = $12,120
Working hours in a week = 40
Now,
the threshold values are for year
thus,
number of working hours in an year = 52 weeks × 40 = 2080 hours
Therefore,
a) Earning per hour in order to be above the poverty threshold for an individual
= [tex]\frac{\textup{Threshold value for individual}}{\textup{Number of working hours}}[/tex]
= [tex]\frac{\textup{8,980}}{\textup{2080}}[/tex]
= $4.317 per hour
b) Earning per hour in order to be above the poverty threshold for a two person household
= [tex]\frac{\textup{Threshold value for two person household}}{\textup{Number of working hours}}[/tex]
= [tex]\frac{\textup{12,120}}{\textup{2080}}[/tex]
= $5.827 per hour
The amount that we need to earn per hour in order to be above the poverty threshold for given cases are:
- For an individual: $4.32 per hour
- For two-person household: $303 per hour
How to interpret the division?
When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b[/tex] = a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since [tex]a = a \times 1[/tex] so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )
For this case, we need to find out the income/hour based on weekly poverty threshold given.
- Case 1: For individual
The poverty threshold is $8,980 (for yearly income)
This is needed to be earned at the least to be above the poverty threshold.
Since the work is for 40 hr/ week and there are 52 weeks in a year usually, therefore, per hour pay is calculated by dividing the mount $8,980 in 40 equal parts then in 52 parts, so in total 40 times 52 parts.
This gives us the hourly pay as: [tex]\dfrac{8980}{2080} \approx \$4.32[/tex]
Thus, For individual, the least amount to be earned is $4.32 per hour for being above the poverty threshold.
- Case 2: For two-person household
The poverty threshold is $12,120 (for yearly income)
This is needed to be earned at the least to be above the poverty threshold.
Since the work is for 40 hr/ week and there are 52 weeks in a year usually, it becomes , therefore, per hour pay is calculated by dividing the mount $12,120 in 40 equal parts then in 52 parts, so in total 40 times 52 parts..
This gives us the hourly pay as: [tex]\dfrac{12120}{2080} = \$5.83[/tex]
Thus, For two-person household, the least amount to be earned is $5.83 per hour for being above the poverty threshold.
Thus, the amount that we need to earn per hour in order to be above the poverty threshold for given cases are:
- For an individual: $4.32 per hour
- For two-person household: $5.83 per hour
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