Question

One worker earns $85 in 2 weeks, and another earns $175 in 4 weeks. Are the pay rates proportional?(1 point) Responses Yes, because the ratios of weeks to dollars are equivalent. Yes, because the ratios of weeks to dollars are equivalent. No, because the ratios of dollars to weeks are not equivalent. No, because the ratios of dollars to weeks are not equivalent. No, because the ratios of weeks to dollars cannot be reduced. No, because the ratios of weeks to dollars cannot be reduced. Yes, because the ratios of dollars to weeks worked are equivalent.

Answer 1

To determine if the pay rates are proportional, we can find the pay rate per week for each worker and then compare those rates.

1. For the first worker:

   • Earnings: $85
   • Time: 2 weeks
   • Pay rate per week = Total Earnings / Total Weeks = $85 / 2 = $42.50 per week.

2. For the second worker:

   • Earnings: $175
   • Time: 4 weeks
   • Pay rate per week = Total Earnings / Total Weeks = $175 / 4 = $43.75 per week.

Now we compare the pay rates:

• First worker: $42.50 per week
• Second worker: $43.75 per week

Since the pay rates ($42.50 and $43.75) are not equal, they are not proportional.

Therefore, the answer is: No, because the ratios of dollars to weeks are not equivalent.

Answer 2

A car travels 110 miles/2 hours . What is the unit rate?(1 point) Responses 55 miles per hour 55 miles per hour one mile per 55 hours one mile per 55 hours 110 miles per 2 hours 110 miles per 2 hours 2 hours per 110 miles

Answer 3

To find the unit rate of the car's travel, we need to calculate the speed in miles per hour. The car travels 110 miles in 2 hours.

To find the unit rate (miles per hour), we can use the following formula:

\[ \text{unit rate} = \frac{\text{total miles}}{\text{total hours}} = \frac{110 \text{ miles}}{2 \text{ hours}} = 55 \text{ miles per hour} \]

So the correct response is: 55 miles per hour.

Answer 4

Use the image to answer the question. You have $10 to spend on carrots for your rabbits. Compare the prices for two different-sized bags. Which size is a better deal and why? (1 point) Responses The 2-lb. bag is the better deal because it costs less. The 2-lb. bag is the better deal because it costs less. The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag. The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag. The 5-lb. bag is the better deal because it costs less than the 2-lb. bag. The 5-lb. bag is the better deal because it costs less than the 2-lb. bag. The 5-lb. bag is the better deal because 5 lb. is more than 2 lb. The 5-lb. bag is the better deal because 5 lb. is more than 2 lb. Skip to navigation

Answer 5

To determine which bag of carrots is the better deal, we need to compare the prices based on the size of the bags. This usually involves calculating the unit price (cost per pound) for both the 2-lb. bag and the 5-lb. bag.

However, since I don't have access to the image mentioned, I can guide you on how to compare based on general principles.

1. Calculate the Unit Price:

   • For the 2-lb bag: If you know the cost, divide that cost by 2 to find the cost per pound.
   • For the 5-lb bag: If you know the cost, divide that cost by 5 to find the cost per pound.

2. Compare the Unit Prices:

   • If the unit price (cost per pound) of the 5-lb bag is less than that of the 2-lb bag, then the 5-lb bag is the better deal.
   • If the 2-lb bag is priced lower than the 5-lb bag when calculated per pound, then it would be the better deal.

Based on this reasoning, if the unit price for the 5-lb bag is indeed lower, the correct response would be: The 5-lb bag is the better deal because the unit rate for the 5-lb bag is less than the unit rate for the 2-lb bag.

If you provide the specific prices for both bags, I can help you with the exact calculations. If the 5-lb bag costs less per pound, then it is the better deal.

Answer 6

At a concert, 300 patrons enter the gates in 30 minutes. What is the unit rate in patrons per minute?(1 point) patrons per minute

Answer 7

To find the unit rate of patrons entering the gates per minute, we can use the formula:

\[ \text{unit rate} = \frac{\text{total patrons}}{\text{total minutes}} \]

Here, the total number of patrons is 300 and the total time is 30 minutes.

\[ \text{unit rate} = \frac{300 \text{ patrons}}{30 \text{ minutes}} = 10 \text{ patrons per minute} \]

So the unit rate is 10 patrons per minute.

Answer 8

Bird seed costs $4.80 for a 32-ounce bag. What is the unit cost of the bird seed per ounce?(1 point) $ per ounce

Answer 9

To find the unit cost of the bird seed per ounce, you can use the formula:

\[ \text{unit cost} = \frac{\text{total cost}}{\text{total ounces}} \]

In this case, the total cost is $4.80 and the total amount is 32 ounces.

\[ \text{unit cost} = \frac{4.80}{32} \]

Calculating that gives:

\[ \text{unit cost} = 0.15 \]

So, the unit cost of the bird seed is $0.15 per ounce.

Answer 10

A lake has 16 boats in 4 square miles. Determine the unit rate in boats per square mile.(1 point) boats per square mile

Answer 11

To find the unit rate of boats per square mile, you can use the formula:

\[ \text{unit rate} = \frac{\text{total boats}}{\text{total square miles}} \]

In this case, the total number of boats is 16 and the total area is 4 square miles.

\[ \text{unit rate} = \frac{16 \text{ boats}}{4 \text{ square miles}} = 4 \text{ boats per square mile} \]

So the unit rate is 4 boats per square mile.