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)

Answer 1

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

For Sweet Sugar:

1. Calculate the price per pound using the given weights and prices.
   • For 2.5 lbs: \[ \text{Price per pound} = \frac{0.75}{2.5} = 0.30 \text{ dollars per pound} \]
   • For 15.0 lbs: \[ \text{Price per pound} = \frac{4.50}{15.0} = 0.30 \text{ dollars per pound} \]
   • For 30.0 lbs: \[ \text{Price per pound} = \frac{9.00}{30.0} = 0.30 \text{ dollars per pound} \]
   • For 100.0 lbs: \[ \text{Price per pound} = \frac{30.00}{100.0} = 0.30 \text{ dollars per pound} \]

So, the price per pound for Sweet Sugar is $0.30.

For Super Sugar:

1. Calculate the price per pound as well.
   • For 3.75 lbs: \[ \text{Price per pound} = \frac{1.16}{3.75} \approx 0.3093 \text{ dollars per pound} \]
   • For 10.0 lbs: \[ \text{Price per pound} = \frac{3.10}{10.0} = 0.31 \text{ dollars per pound} \]
   • For 25.0 lbs: \[ \text{Price per pound} = \frac{7.75}{25.0} = 0.31 \text{ dollars per pound} \]
   • For 110.0 lbs: \[ \text{Price per pound} = \frac{34.10}{110.0} \approx 0.3109 \text{ dollars per pound} \]

So, the price per pound for Super Sugar is approximately $0.31.

Calculation of Savings:

Now, we calculate the difference in price per pound:

\[ \text{Savings} = \text{Price per pound of Super Sugar} - \text{Price per pound of Sweet Sugar} = 0.31 - 0.30 = 0.01 \]

Therefore, Suman will save $0.01 per pound if he buys Sweet Sugar brand instead of Super Sugar.