Use the tables to answer the 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.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to compare the price per pound of each brand.
For Sweet Sugar:
Price for 2.5 lbs = $0.75
Price per pound = $0.75/2.5 lbs = $0.30/lb
For Super Sugar:
Price for 3.75 lbs = $1.16
Price per pound = $1.16/3.75 lbs = $0.31/lb
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to compare the price per pound of Sweet Sugar and Super Sugar.
The price per pound of Sweet Sugar can be calculated by dividing the price by the weight:
Sweet Sugar price per pound = Price ($) / Weight (lbs.)
From the Sweet Sugar table, we can see that the price and weight are as follows:
Price = $30.00
Weight = 100.0 lbs.
Therefore, the price per pound of Sweet Sugar is:
Sweet Sugar price per pound = $30.00 / 100.0 lbs. = $0.30/lb.
Similarly, we can calculate the price per pound of Super Sugar using the Super Sugar table:
Super Sugar price per pound = Price ($) / Weight (lbs.)
From the Super Sugar table, we can see that the price and weight are as follows:
Price = $34.10
Weight = 110.0 lbs.
Therefore, the price per pound of Super Sugar is:
Super Sugar price per pound = $34.10 / 110.0 lbs. = $0.310/lb.
To find out how much money per pound Suman will save if he buys the Sweet Sugar brand, subtract the price per pound of Sweet Sugar from the price per pound of Super Sugar:
Money saved per pound = Super Sugar price per pound - Sweet Sugar price per pound
Money saved per pound = $0.310/lb. - $0.30/lb.
Therefore, Suman will save $0.010 per pound if he buys the Sweet Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to calculate the price per pound of each brand and then compare them.
For Sweet Sugar brand:
- The weight is given in pounds, and the corresponding prices are $0.75 for 2.5 pounds, $4.50 for 15 pounds, $9.00 for 30 pounds, and $30.00 for 100 pounds.
To calculate the price per pound for Sweet Sugar, we divide the price by the weight for each value:
- Price per pound for 2.5 pounds: $0.75 / 2.5 = $0.3 per pound
- Price per pound for 15 pounds: $4.50 / 15 = $0.3 per pound
- Price per pound for 30 pounds: $9.00 / 30 = $0.3 per pound
- Price per pound for 100 pounds: $30.00 / 100 = $0.3 per pound
Therefore, the price per pound for Sweet Sugar is consistently $0.30.
Now, let's compare it to the Super Sugar brand:
- The weight is given in pounds, and the corresponding prices are $1.16 for 3.75 pounds, $3.10 for 10 pounds, $7.75 for 25 pounds, and $34.10 for 110 pounds.
To calculate the price per pound for Super Sugar, we divide the price by the weight for each value:
- Price per pound for 3.75 pounds: $1.16 / 3.75 ≈ $0.31 per pound
- Price per pound for 10 pounds: $3.10 / 10 = $0.31 per pound
- Price per pound for 25 pounds: $7.75 / 25 ≈ $0.31 per pound
- Price per pound for 110 pounds: $34.10 / 110 ≈ $0.31 per pound
Therefore, the price per pound for Super Sugar is consistently approximately $0.31.
Now, let's calculate the difference in price per pound between the two brands:
Price per pound for Sweet Sugar: $0.30
Price per pound for Super Sugar: $0.31
To find the savings, we subtract the price per pound of Sweet Sugar from the price per pound of Super Sugar:
$0.31 - $0.30 = $0.01 per pound
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.