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)
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 per pound = Price ($)/Weight (lbs.)
For Super Sugar:
Price per pound = Price ($)/Weight (lbs.)
Let's calculate the price per pound for Sweet Sugar:
For 2.5 lbs.:
Price per pound = 0.75/2.5 = 0.30
For 15.0 lbs.:
Price per pound = 4.50/15.0 = 0.30
For 30.0 lbs.:
Price per pound = 9.00/30.0 = 0.30
For 100.0 lbs.:
Price per pound = 30.00/100.0 = 0.30
Now, let's calculate the price per pound for Super Sugar:
For 3.75 lbs.:
Price per pound = 1.16/3.75 = 0.31
For 10.0 lbs.:
Price per pound = 3.10/10.0 = 0.31
For 25.0 lbs.:
Price per pound = 7.75/25.0 = 0.31
For 110.0 lbs.:
Price per pound = 34.10/110.0 = 0.31
Therefore, if Suman buys the Sweet Sugar brand, he will save $0.01 per pound compared to Super Sugar.
0.01 is the answer for the first question
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 of sugar.
Since Sweet Sugar is priced at $0.75 for 2.5 lbs, we can divide the price by the weight to determine the price per pound:
Price per pound of Sweet Sugar = $0.75 / 2.5 lbs = $0.30 per lb
Similarly, for Super Sugar, we can calculate the price per pound using the information provided:
Price per pound of Super Sugar = $1.16 / 3.75 lbs ≈ $0.31 per lb
To find 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 of Super Sugar - Price per pound of Sweet Sugar
= $0.31 per lb - $0.30 per lb
= $0.01 per lb
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
Use the tables to answer the question.
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)
To determine how many more miles per gallon Gabi can go if she uses gas from Good Gas instead of Go Gas, we need to compare the number of miles driven per gallon of gas for each brand.
For Go Gas:
Miles per gallon = Miles Driven / Gallons of Gas
For Good Gas:
Miles per gallon = Miles Driven / Gallons of Gas
Let's calculate the miles per gallon for Go Gas:
For 5.5 gallons of gas:
Miles per gallon = 170.5 / 5.5 ≈ 30.909
For 10.2 gallons of gas:
Miles per gallon = 316.2 / 10.2 ≈ 30.980
For 12.0 gallons of gas:
Miles per gallon = 372.0 / 12.0 = 31.000
For 14.5 gallons of gas:
Miles per gallon = 449.5 / 14.5 ≈ 31.034
Now, let's calculate the miles per gallon for Good Gas:
For 3.75 gallons of gas:
Miles per gallon = 127.5 / 3.75 = 34.000
For 9.4 gallons of gas:
Miles per gallon = 319.6 / 9.4 ≈ 34.043
For 12.6 gallons of gas:
Miles per gallon = 428.4 / 12.6 = 34.000
For 16.0 gallons of gas:
Miles per gallon = 544.0 / 16.0 = 34.000
Therefore, if Gabi uses gas from Good Gas instead of Go Gas, she can go approximately 3.0 more miles per gallon.
then for the second question, Gabi can go 3 more miles
To calculate how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to find the price per pound for both brands and then compare them.
To find the price per pound, we divide the total price by the weight in pounds.
For Sweet Sugar:
Price per pound = Price / Weight
For Super Sugar:
Price per pound = Price / Weight
Let's calculate the price per pound for both brands:
Sweet Sugar:
Price per pound for 2.5 lbs = $0.75 / 2.5 = $0.30 per pound
Price per pound for 15 lbs = $4.50 / 15 = $0.30 per pound
Price per pound for 30 lbs = $9.00 / 30 = $0.30 per pound
Price per pound for 100 lbs = $30.00 / 100 = $0.30 per pound
Super Sugar:
Price per pound for 3.75 lbs = $1.16 / 3.75 = $0.31 per pound
Price per pound for 10 lbs = $3.10 / 10 = $0.31 per pound
Price per pound for 25 lbs = $7.75 / 25 = $0.31 per pound
Price per pound for 110 lbs = $34.10 / 110 = $0.31 per pound
From the calculations, we can see that the price per pound for both brands is the same, which is $0.30 per pound. Therefore, Suman will not save any money per pound if he buys the Sweet Sugar brand compared to the Super Sugar brand.