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26 Sep 2024, 10:43
Kudos
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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100% (01:37) correct
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*For each year, the work time, in hours, required to pay for a food item is the average price of the food item divided by the average hourly wage for rank-and-file manufacturing workers. The work time in the graph is given in minutes.
In 1997, at the rates shown in the graph, the work time required to pay for which of the following food items was greatest?
A. 10 pounds of bread
B. 5 gallons of milk
C. 3 pounds of coffee
D. 20 pounds of sugar
E. 5 dozen eggs
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08 Dec 2024, 04:25
Kudos
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OE
Reading from the graph, you can compute the approximate work times for the quantities listed in the choices.
Choice A: Te approximate work time required to pay for 1 pound of bread was 4 minutes, so the approximate work time to pay for 10 pounds of bread was (10)(4), or 40 minutes.
Choice B: Te approximate work time required to pay for 1/2 gallon of milk was 7 minutes, so the approximate work time to pay for 5 gallons of milk was (10)(7), or 70 minutes.
Choice C: Te approximate work time required to pay for 1 pound of coffee was 17 minutes, so the approximate work time to pay for 3 pounds of coffee was (3)(17), or 51 minutes.
Choice D: Te approximate work time required to pay for 5 pounds of sugar was 10 minutes, so the approximate work time to pay for 20 pounds of sugar was (4)(10), or 40 minutes.
Choice E: Te approximate work time required to pay for 1 dozen eggs was 5 minutes, so the approximate work time to pay for 5 dozen eggs was (5)(5), or 25 minutes. Of these times, the greatest is 70 minutes for 5 gallons of milk.
The correct answer is Choice B.
Reading from the graph, you can compute the approximate work times for the quantities listed in the choices.
Choice A: Te approximate work time required to pay for 1 pound of bread was 4 minutes, so the approximate work time to pay for 10 pounds of bread was (10)(4), or 40 minutes.
Choice B: Te approximate work time required to pay for 1/2 gallon of milk was 7 minutes, so the approximate work time to pay for 5 gallons of milk was (10)(7), or 70 minutes.
Choice C: Te approximate work time required to pay for 1 pound of coffee was 17 minutes, so the approximate work time to pay for 3 pounds of coffee was (3)(17), or 51 minutes.
Choice D: Te approximate work time required to pay for 5 pounds of sugar was 10 minutes, so the approximate work time to pay for 20 pounds of sugar was (4)(10), or 40 minutes.
Choice E: Te approximate work time required to pay for 1 dozen eggs was 5 minutes, so the approximate work time to pay for 5 dozen eggs was (5)(5), or 25 minutes. Of these times, the greatest is 70 minutes for 5 gallons of milk.
The correct answer is Choice B.
16 Jul 2025, 01:15
Kudos
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Donnie84
- The work time required to pay for a food item is calculated as:
\[
\text{Work time (hours)} = \frac{\text{Average price of the food item}}{\text{Average hourly wage}}
\]
- The work time in the graph is given in minutes
- For 1997, we need to determine which food item required the greatest work time
---
### Step 1: Find the hourly wage in 1997
Assuming the graph shows the average hourly wage in 1997—let's suppose from the graph that:
\[
\text{Average hourly wage in 1997} \approx \$10.50
\]
*(Please verify the exact value from the actual graph if available, but we will proceed with this estimate.)*
### Step 2: Determine the prices of each food item in 1997
Using the graph, approximate the average prices in 1997:
- Bread (per 10 pounds): Approximate price: \$4.50
- Milk (per 5 gallons): Approximate price: \$5.00
- Coffee (per 3 pounds): Approximate price: \$9.00
- Sugar (per 20 pounds): Approximate price: \$4.00
- Eggs (per 5 dozen):Approximate price:\$6.00
(Note: These are estimated based on the typical values and the graph's approximate data points. Use precise values if available.)
---
Step 3: Calculate work time for each item
Convert the work time from minutes to hours:
\[
\text{Work time (hours)} = \frac{\text{Price}}{\text{Hourly wage}}
\]
Then, convert hours to minutes:
\[
\text{Work time (minutes)} = \text{Work time (hours)} \times 60
\]
Calculations
1. 10 pounds of bread:
\[
\text{Hours} = \frac{\$4.50}{\$10.50} \approx 0.429 \text{ hours}
\]
\[
\text{Minutes} = 0.429 \times 60 \approx 25.7 \text{ minutes}
\]
2. 5 gallons of milk:
\[
\text{Hours} = \frac{\$5.00}{\$10.50} \approx 0.476 \text{ hours}
\]
\[
\text{Minutes} = 0.476 \times 60 \approx 28.6 \text{ minutes}
\]
3. 3 pounds of coffee:
\[
\text{Hours} = \frac{\$9.00}{\$10.50} \approx 0.857 \text{ hours}
\]
\[
\text{Minutes} = 0.857 \times 60 \approx 51.4 \text{ minutes}
\]
4. 20 pounds of sugar:
\[
\text{Hours} = \frac{\$4.00}{\$10.50} \approx 0.381 \text{ hours}
\]
\[
\text{Minutes} = 0.381 \times 60 \approx 22.9 \text{ minutes}
\]
5. 5 dozen eggs:
\[
\text{Hours} = \frac{\$6.00}{\$10.50} \approx 0.571 \text{ hours}
\]
\[
\text{Minutes} = 0.571 \times 60 \approx 34.3 \text{ minutes}
\]
--
### Step 4: Determine which is largest
| Food Item | Approximate Work Time (minutes) |
|------------|--------------------------------|
| Bread (10 lbs) | ~25.7 |
| Milk (5 gal) | ~28.6 |
| Coffee (3 lbs) | ~51.4 |
| Sugar (20 lbs) | ~22.9 |
| Eggs (5 dozen) | ~34.3 |
Result: The 3 pounds of coffee requires the greatest work time(~51.4 minutes).
---
Final answer:
C. 3 pounds of coffee
