Use the tables to answer the question.

Question

Sweet Sugar
Weight (lbs.) Price ($)
2.5 0.75
15.0 4.50
30.0 9.00
100.0 30.00
 
Super Sugar
Weight (lbs.) Price ($)
3.75 1.16
10.0 3.10
25.0 7.75
110.0 34.10
Based on the tables showing the price of buying different amounts of two brands of sugar, Suman determined that Sweet Sugar was the better buy based on price alone. How much money per pound will Suman save if he buys the Sweet Sugar brand?

(1 point)
Suman will save $ per pound if he buys the Sweet Sugar brand

Answer 1

To find out how much Suman will save per pound when buying Sweet Sugar compared to Super Sugar, we first need to calculate the price per pound for both brands.

For Sweet Sugar:

• \( \frac{\text{Price}}{\text{Weight}} \)

1. For 2.5 lbs: \[ \frac{0.75}{2.5} = 0.30 \text{ dollars per pound} \]

2. For 15.0 lbs: \[ \frac{4.50}{15.0} = 0.30 \text{ dollars per pound} \]

3. For 30.0 lbs: \[ \frac{9.00}{30.0} = 0.30 \text{ dollars per pound} \]

4. For 100.0 lbs: \[ \frac{30.00}{100.0} = 0.30 \text{ dollars per pound} \]

Thus, the price for Sweet Sugar is consistently \(0.30\) dollars per pound.

For Super Sugar:

• \( \frac{\text{Price}}{\text{Weight}} \)

1. For 3.75 lbs: \[ \frac{1.16}{3.75} \approx 0.30933 \text{ dollars per pound} \]

2. For 10.0 lbs: \[ \frac{3.10}{10.0} = 0.31 \text{ dollars per pound} \]

3. For 25.0 lbs: \[ \frac{7.75}{25.0} = 0.31 \text{ dollars per pound} \]

4. For 110.0 lbs: \[ \frac{34.10}{110.0} \approx 0.31000 \text{ dollars per pound} \]

So, the price for Super Sugar is consistently around \(0.31\) dollars per pound.

Now, we can determine the savings per pound: \[ \text{Savings per pound} = \text{Price of Super Sugar} - \text{Price of Sweet Sugar} \] \[ \text{Savings per pound} = 0.31 - 0.30 = 0.01 \text{ dollars per pound} \]

Thus, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.