Animal 1 takes 10 steps every minute. Animal 2 takes 22 steps every 2 minutes. Compare these proportional relationships. Which animal takes more steps per minute?
To determine how many more miles per gallon Gabi can go if she uses gas from Good Gas, we need to calculate the difference in miles driven per gallon between Go Gas and Good Gas.
For Go Gas:
Miles driven for 5.5 gallons: 170.5 miles
Miles driven for 10.2 gallons: 316.2 miles
Miles driven for 12.0 gallons: 372.0 miles
Miles driven for 14.5 gallons: 449.5 miles
To find the miles driven per gallon for each amount of gas, divide the miles driven by the gallons of gas:
Miles per gallon for 5.5 gallons: 170.5 miles / 5.5 gallons = 31.00 miles/gallon
Miles per gallon for 10.2 gallons: 316.2 miles / 10.2 gallons = 31.00 miles/gallon
Miles per gallon for 12.0 gallons: 372.0 miles / 12.0 gallons = 31.00 miles/gallon
Miles per gallon for 14.5 gallons: 449.5 miles / 14.5 gallons = 31.00 miles/gallon
For Good Gas:
Miles driven for 3.75 gallons: 127.5 miles
Miles driven for 9.4 gallons: 319.6 miles
Miles driven for 12.6 gallons: 428.4 miles
Miles driven for 16.0 gallons: 544.0 miles
To find the miles driven per gallon for each amount of gas, divide the miles driven by the gallons of gas:
Miles per gallon for 3.75 gallons: 127.5 miles / 3.75 gallons = 34.00 miles/gallon
Miles per gallon for 9.4 gallons: 319.6 miles / 9.4 gallons = 34.04 miles/gallon
Miles per gallon for 12.6 gallons: 428.4 miles / 12.6 gallons = 34.03 miles/gallon
Miles per gallon for 16.0 gallons: 544.0 miles / 16.0 gallons = 34.00 miles/gallon
Now we can calculate the difference in miles per gallon between Go Gas and Good Gas:
Miles per gallon difference = Miles per gallon of Good Gas - Miles per gallon of Go Gas
Using any of the amounts of gas, the difference in miles per gallon will be approximately:
34.00 miles/gallon - 31.00 miles/gallon = 3.00 miles/gallon
Therefore, Gabi can go approximately 3 more miles per gallon if she uses gas from Good Gas for her car.
To compare the proportional relationships, we need to find how many steps each animal takes per minute.
Animal 1 takes 10 steps every minute, so its rate is 10 steps/minute.
Animal 2 takes 22 steps every 2 minutes. To find the rate per minute, we can divide the number of steps by the number of minutes: 22 steps / 2 minutes = 11 steps/minute.
Therefore, Animal 2 takes more steps per minute, with 11 steps compared to Animal 1's 10 steps.
Person 1 practices the piano for 25 minutes every day. Person 2 also practices the piano every day. Person 2 practices the same amount every day for a total of 140 minutes per week. Compare these proportional relationships. Which person practices less per day?
To compare the proportional relationships, we need to find how many minutes each person practices per day.
Person 1 practices the piano for 25 minutes every day, so they practice for 25 minutes/day.
Person 2 practices for a total of 140 minutes per week. To find how many minutes per day, we can divide the total minutes by the number of days in a week. There are 7 days in a week, so Person 2 practices for:
140 minutes รท 7 days = 20 minutes/day.
Therefore, Person 2 practices less per day with 20 minutes compared to Person 1's 25 minutes.
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?
Suman will save $______ per pound if he buys the Sweet Sugar brand.
To determine how much money per pound Suman will save by buying the Sweet Sugar brand, we need to calculate the difference in price per pound between Sweet Sugar and Super Sugar.
For Sweet Sugar:
Price for 2.5 lbs: $0.75
Price for 15 lbs: $4.50
Price for 30 lbs: $9.00
Price for 100 lbs: $30.00
To find the price per pound for each weight, divide the price by the weight:
Price per pound for 2.5 lbs: $0.75 / 2.5 lbs = $0.30
Price per pound for 15 lbs: $4.50 / 15 lbs = $0.30
Price per pound for 30 lbs: $9.00 / 30 lbs = $0.30
Price per pound for 100 lbs: $30.00 / 100 lbs = $0.30
For Super Sugar:
Price for 3.75 lbs: $1.16
Price for 10 lbs: $3.10
Price for 25 lbs: $7.75
Price for 110 lbs: $34.10
To find the price per pound for each weight, divide the price by the weight:
Price per pound for 3.75 lbs: $1.16 / 3.75 lbs = $0.31
Price per pound for 10 lbs: $3.10 / 10 lbs = $0.31
Price per pound for 25 lbs: $7.75 / 25 lbs = $0.31
Price per pound for 110 lbs: $34.10 / 110 lbs = $0.31
Now we can calculate the difference in price per pound between Sweet Sugar and Super Sugar:
Price per pound difference = Price per pound of Sweet Sugar - Price per pound of Super Sugar
Using any of the weights, the difference in price per pound will be:
$0.30 - $0.31 = -$0.01
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
based on the tables showing the number of miles driven per gallon of gas 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?
tables:
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