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.
Remaining Attempts : 3
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Answer 1

To determine how much Suman will save per pound by buying Sweet Sugar instead of Super Sugar, we need to calculate the price per pound for each brand.

For Sweet Sugar:

• The prices and weights are as follows:
  • 2.5 lbs - $0.75
  • 15 lbs - $4.50
  • 30 lbs - $9.00
  • 100 lbs - $30.00

Calculating the price per pound for each:

• 2.5 lbs: \( \frac{0.75}{2.5} = 0.30 \) per lb
• 15 lbs: \( \frac{4.50}{15} = 0.30 \) per lb
• 30 lbs: \( \frac{9.00}{30} = 0.30 \) per lb
• 100 lbs: \( \frac{30.00}{100} = 0.30 \) per lb

Sweet Sugar price per pound: $0.30 per lb

For Super Sugar:

• The prices and weights are as follows:
  • 3.75 lbs - $1.16
  • 10 lbs - $3.10
  • 25 lbs - $7.75
  • 110 lbs - $34.10

Calculating the price per pound for each:

• 3.75 lbs: \( \frac{1.16}{3.75} \approx 0.3093 \) per lb
• 10 lbs: \( \frac{3.10}{10} = 0.31 \) per lb
• 25 lbs: \( \frac{7.75}{25} = 0.31 \) per lb
• 110 lbs: \( \frac{34.10}{110} \approx 0.3091 \) per lb

Super Sugar price per pound: Approximately $0.31 per lb

Comparison and Savings:

• Price of Sweet Sugar: $0.30 per lb
• Price of Super Sugar: $0.31 per lb

To find the savings per pound: \[ 0.31 - 0.30 = 0.01 \]

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

Final answer: Suman will save $0.01 per pound if he buys the Sweet Sugar brand.