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Question 1

A) Baker 1 bakes the same number of cookies each hour she works. She baked 1,200 cookies
in a 6-hour period of working. Baker 2 bakes 250 cookies each hour. Compare the proportional
relationships. Which baker bakes fewer cookies per hour? (1 point)
Baker bakes fewer cookies per hour.
Question 2
A) 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? (1 point)
Animal takes more steps per minute.
Question 3
A) 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? (1 point)
Person
practices less per day
Question 4
A)
Use the tables to answer the question.
Sweet Sugar
Weight
(
lbs.
)
Price
(
$
)
2.5
0.75
15.0
30.0
100.0
4.50
9.00
30.00
Super Sugar
Weight
(
lbs.
)
Price
(
$
)
3.75
1.16
10.0
25.0
110.0
3.10
7.75
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)
SQuestion 5
A)
Use the tables to answer the question.
Go Gas
Gallons of Gas Miles Driven
5.5
10.2
12.0
14.5
170.5
316.2
372.0
449.5
Good Gas
Gallons of Gas Miles Driven
3.75
9.4
12.6
16.0
127.5
319.6
428.4
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 caruman will save $ per pound if he buys the Sweet Sugar brand.

5 answers

Let's answer each question step by step.

Question 1

Baker 1 bakes:

  • 1,200 cookies in 6 hours.
  • Cookies per hour = \( \frac{1200 \text{ cookies}}{6 \text{ hours}} = 200 \text{ cookies/hour} \)

Baker 2 bakes:

  • 250 cookies each hour.

Comparison:
Baker 1 bakes 200 cookies per hour, while Baker 2 bakes 250 cookies per hour.

Answer: Baker 1 bakes fewer cookies per hour.

Question 2

Animal 1:

  • 10 steps per minute.

Animal 2:

  • 22 steps every 2 minutes = \( \frac{22 \text{ steps}}{2 \text{ minutes}} = 11 \text{ steps/minute} \)

Comparison:
Animal 1 takes 10 steps per minute, while Animal 2 takes 11 steps per minute.

Answer: Animal 2 takes more steps per minute.

Question 3

Person 1:

  • Practices 25 minutes every day.

Person 2:

  • Total of 140 minutes per week = \( \frac{140 \text{ minutes}}{7 \text{ days}} = 20 \text{ minutes/day} \)

Comparison:
Person 1 practices 25 minutes per day, while Person 2 practices 20 minutes per day.

Answer: Person 2 practices less per day.

Question 4

Calculating price per pound for Sweet Sugar:

  • Price for 2.5 lbs = $0.75, thus \( \frac{0.75}{2.5} = 0.30 \text{ per lb} \)
  • Price for 15 lbs = $30.00, thus \( \frac{30.00}{15} = 2.00 \text{ per lb} \)
  • Price for 100 lbs = $4.50, thus \( \frac{4.50}{100} = 0.045 \text{ per lb} \)

Overall price per pound:

  • Average from the prices (for standard quantities)
  • Let's take 2.5 lbs, 15 lbs, and 100 lbs for comparison:
    • (0.30, 2.00, and 0.045)
    • The lowest appears to be 0.045, which seems erroneous based on pricing structure; instead, the more typical choices are around central bulk buys.

Calculating price per pound for Super Sugar:

  • Price for 3.75 lbs = $1.16, thus \( \frac{1.16}{3.75} \approx 0.3093 \text{ per lb} \)
  • Price for 10 lbs = $25.00, thus \( \frac{25.00}{10} = 2.50 \text{ per lb} \)

Assuming based on refinement of choice, select those consistent quantities of 2.5 lbs or base structure for bulk again toward ordering:

  • It appears thus that Sweet Sugar will align to be less costly on aggregate beyond free-flow.

More accurate derived should yield:

Answer: Suman will save $ (as noted, calculate accurately amid quantities inline).

Question 5

Calculating miles per gallon for Go Gas:

  • \( \frac{10.2 \text{ miles}}{5.5 \text{ gallons}} \approx 1.855 \) mpg
  • \( \frac{316.2}{12} \approx 26.35 \) mpg
  • & the rest simplifies through to averaging about line of 30 - 30 mpg giving a full view based from aggregate.

Calculating miles per gallon for Good Gas:

  • \( \frac{9.4 \text{ miles}}{3.75 \text{ gallons}} \approx 2.506 \) mpg
  • \( \frac{428.4}{16} \approx 26.775 \) mpg

Finding further: Diverging mpg across totals will yield:

Answer: Gabi can go (difference observed through yield back thus total remaining spans, pending correct base adjusted calcs).

Please go through these systematically affirming the basis of comparative ratios in case adjustments against initial lifted offers are called for!

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. Remaining Attempts : 3

To determine how much money per pound Suman will save if he buys the Sweet Sugar brand over the Super Sugar brand, we first need to calculate the price per pound for each brand based on the provided weights and prices. Then, we will find the difference.

Sweet Sugar Price per Pound Calculation:

  1. For 2.5 lbs at $0.75:

    • Price per pound = \( \frac{0.75}{2.5} = 0.30 \) dollars per pound

  2. For 15.0 lbs at $4.50:

    • Price per pound = \( \frac{4.50}{15.0} = 0.30 \) dollars per pound

  3. For 30.0 lbs at $9.00:

    • Price per pound = \( \frac{9.00}{30.0} = 0.30 \) dollars per pound

  4. For 100.0 lbs at $30.00:

    • Price per pound = \( \frac{30.00}{100.0} = 0.30 \) dollars per pound

Average price per pound for Sweet Sugar:
All calculations consistently show that the price per pound for Sweet Sugar is $0.30/lb.

Super Sugar Price per Pound Calculation:

  1. For 3.75 lbs at $1.16:

    • Price per pound = \( \frac{1.16}{3.75} \approx 0.3093 \) dollars per pound

  2. For 10.0 lbs at $3.10:

    • Price per pound = \( \frac{3.10}{10.0} = 0.31 \) dollars per pound

  3. For 25.0 lbs at $7.75:

    • Price per pound = \( \frac{7.75}{25.0} = 0.31 \) dollars per pound

  4. For 110.0 lbs at $34.10:

    • Price per pound = \( \frac{34.10}{110.0} \approx 0.3109 \) dollars per pound

Average price per pound for Super Sugar:
The calculations suggest that the price per pound for Super Sugar is approximately $0.31/lb.

Savings Calculation: Now we can find the difference in price per pound between the two brands:

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

Thus, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.

Final Answer:

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)
Gabi can go

To find out how many more miles per gallon Gabi can achieve by using Good Gas compared to Go Gas, we need to calculate the miles per gallon (mpg) for each brand from the given tables.

Calculating Miles Per Gallon (mpg)

Go Gas:

  1. For 5.5 gallons and 170.5 miles: \[ \text{mpg} = \frac{170.5 \text{ miles}}{5.5 \text{ gallons}} \approx 31.0 \text{ mpg} \]

  2. For 10.2 gallons and 316.2 miles: \[ \text{mpg} = \frac{316.2 \text{ miles}}{10.2 \text{ gallons}} \approx 31.0 \text{ mpg} \]

  3. For 12.0 gallons and 372.0 miles: \[ \text{mpg} = \frac{372.0 \text{ miles}}{12.0 \text{ gallons}} = 31.0 \text{ mpg} \]

  4. For 14.5 gallons and 449.5 miles: \[ \text{mpg} = \frac{449.5 \text{ miles}}{14.5 \text{ gallons}} \approx 31.0 \text{ mpg} \]

Average mpg for Go Gas: All the calculations suggest that Go Gas yields approximately 31.0 miles per gallon.

Good Gas:

  1. For 3.75 gallons and 127.5 miles: \[ \text{mpg} = \frac{127.5 \text{ miles}}{3.75 \text{ gallons}} = 34.0 \text{ mpg} \]

  2. For 9.4 gallons and 319.6 miles: \[ \text{mpg} = \frac{319.6 \text{ miles}}{9.4 \text{ gallons}} \approx 34.0 \text{ mpg} \]

  3. For 12.6 gallons and 428.4 miles: \[ \text{mpg} = \frac{428.4 \text{ miles}}{12.6 \text{ gallons}} = 34.0 \text{ mpg} \]

  4. For 16.0 gallons and 544.0 miles: \[ \text{mpg} = \frac{544.0 \text{ miles}}{16.0 \text{ gallons}} = 34.0 \text{ mpg} \]

Average mpg for Good Gas: All calculations indicate that Good Gas yields approximately 34.0 miles per gallon.

Comparison of Miles Per Gallon

Now let's find the difference in mpg between Good Gas and Go Gas:

\[ \text{Difference} = \text{mpg of Good Gas} - \text{mpg of Go Gas} \] \[ = 34.0 - 31.0 = 3.0 \text{ miles per gallon} \]

Final Answer

Gabi can go 3.0 more miles per gallon if she uses gas from Good Gas for her car.