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 calculate the difference in price per pound between the two brands.
For Sweet Sugar:
Weight (lbs.) = 100.0
Price ($) = 30.00
Price per pound = Price ($) / Weight (lbs.) = 30.00 / 100.0 = $0.30
For Super Sugar:
Weight (lbs.) = 110.0
Price ($) = 34.10
Price per pound = Price ($) / Weight (lbs.) = 34.10 / 110.0 = $0.31
To calculate the savings per pound, we subtract the price per pound of Sweet Sugar from the price per pound of Super Sugar:
Savings per pound = Price per pound (Sweet Sugar) - Price per pound (Super Sugar) = $0.30 - $0.31 = -$0.01
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to calculate the difference in price per pound between Sweet Sugar and Super Sugar.
First, let's calculate the price per pound for each brand. We can do this by dividing the price by the weight for each option:
For Sweet Sugar:
Price per pound = Price ($) / Weight (lbs.)
Option 1: 0.75 / 2.5 = $0.30/lb
Option 2: 4.50 / 15.0 = $0.30/lb
Option 3: 9.00 / 30.0 = $0.30/lb
Option 4: 30.00 / 100.0 = $0.30/lb
For Super Sugar:
Price per pound = Price ($) / Weight (lbs.)
Option 1: 1.16 / 3.75 = $0.31/lb
Option 2: 3.10 / 10.0 = $0.31/lb
Option 3: 7.75 / 25.0 = $0.31/lb
Option 4: 34.10 / 110.0 = $0.31/lb
Next, we need to calculate the difference in price per pound between Sweet Sugar and Super Sugar for each option:
Option 1: $0.30/lb - $0.31/lb = -$0.01/lb
Option 2: $0.30/lb - $0.31/lb = -$0.01/lb
Option 3: $0.30/lb - $0.31/lb = -$0.01/lb
Option 4: $0.30/lb - $0.31/lb = -$0.01/lb
From the calculations, we can see that Suman will save -$0.01 per pound if he buys the Sweet Sugar brand.
However, this negative value suggests that Sweet Sugar is actually more expensive per pound than Super Sugar. Therefore, based on price alone, Suman would not save any money per pound by buying 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 prices of the two brands for each weight.
- For 2.5 lbs of Sweet Sugar, the price is $0.75
- For 2.5 lbs of Super Sugar, the price is $1.16
- For 15 lbs of Sweet Sugar, the price is $4.50
- For 15 lbs of Super Sugar, the price is $3.10
- For 30 lbs of Sweet Sugar, the price is $9.00
- For 30 lbs of Super Sugar, the price is $7.75
- For 100 lbs of Sweet Sugar, the price is $30.00
- For 100 lbs of Super Sugar, the price is $34.10
To calculate the cost per pound for each brand, divide the price by the weight:
- Sweet Sugar:
- 2.5 lbs => $0.75 / 2.5 lbs = $0.30 per pound
- 15 lbs => $4.50 / 15 lbs = $0.30 per pound
- 30 lbs => $9.00 / 30 lbs = $0.30 per pound
- 100 lbs => $30.00 / 100 lbs = $0.30 per pound
- Super Sugar:
- 2.5 lbs => $1.16 / 2.5 lbs = $0.464 per pound
- 15 lbs => $3.10 / 15 lbs = $0.2066 per pound
- 30 lbs => $7.75 / 30 lbs = $0.2583 per pound
- 100 lbs => $34.10 / 100 lbs = $0.341 per pound
Now, let's calculate the difference in cost per pound between the two brands for each weight:
- For 2.5 lbs:
- Difference = Cost per pound of Sweet Sugar - Cost per pound of Super Sugar
- Difference = $0.30 - $0.464 = -$0.164
- For 15 lbs:
- Difference = Cost per pound of Sweet Sugar - Cost per pound of Super Sugar
- Difference = $0.30 - $0.2066 = $0.0934
- For 30 lbs:
- Difference = Cost per pound of Sweet Sugar - Cost per pound of Super Sugar
- Difference = $0.30 - $0.2583 = $0.0417
- For 100 lbs:
- Difference = Cost per pound of Sweet Sugar - Cost per pound of Super Sugar
- Difference = $0.30 - $0.341 = -$0.041
Thus, Suman will save -$0.164 per pound if he buys the Sweet Sugar brand compared to the Super Sugar brand.
Go Gas Gallons of Gas Miles Driven 5.5 170.5 10.2 316.2 12.0 372.0 14.5 449.5 Good Gas Gallons of Gas Miles Driven 3.75 127.5 9.4 319.6 12.6 428.4 16.0 544.0 Based on the tables showing the number of miles driven per gallon of gas for two leading gas brands, Gabi determines that she should buy Good Gas instead of Go Gas. How many more miles per gallon can she go if she uses gas from Good Gas for her car? (1 point) Gabi can go more miles per gallon if she uses gas from Good Gas for her car.
To determine how many more miles per gallon Gabi can go if she uses gas from Good Gas for her car, we need to calculate the difference in miles driven per gallon between the two brands.
For Go Gas:
Gallons of Gas: 5.5
Miles Driven: 170.5
Miles per Gallon: Miles Driven / Gallons of Gas = 170.5 / 5.5 = 31 miles per gallon
For Good Gas:
Gallons of Gas: 3.75
Miles Driven: 127.5
Miles per Gallon: Miles Driven / Gallons of Gas = 127.5 / 3.75 = 34 miles per gallon
To calculate the difference in miles per gallon, we subtract the miles per gallon of Go Gas from the miles per gallon of Good Gas:
Difference = Miles per Gallon (Good Gas) - Miles per Gallon (Go Gas) = 34 - 31 = 3 miles per gallon
Therefore, Gabi can go 3 more miles per gallon if she uses gas from Good Gas for her car.