it takes pam 45 minutes to drive to work and 60 minutes to drive back home. Write the ratio of the time pam spends driving home from work to the time she spends driving to work.
Ben needs to buy orange juice. He can buy 64 fl oz at the grocery store for $2.00 or he can buy 256 fl oz at the wholesale club for $7.50.
a. Find the unit price for the grocery store orange juice. round your answer to the nearest thousandth.
b. Find the unit price for the wholesome club orange juice.
round your answer to the nearest thousandth.
c. Where should ben buy the orange juice if he wants the best deal?
Convert the map scale to a unit rate. how many inches represent one mile? interpert the meaning of the unit rate.
3/10in.=7/8mi.
Show your work for all 3 questions
1. Ratio = 60/45 = 4/3.
2a. $2.00/64oz = ---per oz.
b. $7.50/256oz =
c.
3. 3/10in = 7/8mi.
Multiply both sides by 10/3:
1 in = 70/24 = 2.92 m1.
You are welcome.
thanks henry2
Question 1: The ratio of the time Pam spends driving home from work to the time she spends driving to work is 60 minutes : 45 minutes, which can be simplified to 4:3.
Question 2:
a. Unit price for grocery store orange juice: 2.00 / 64 = 0.031 or $0.031 per ounce.
b. Unit price for wholesale club orange juice: 7.50 / 256 = 0.029 or $0.029 per ounce.
c. Ben should buy the orange juice from the wholesale club as it has a lower unit price, making it a better deal.
Question 3: To convert the map scale to a unit rate, we take the ratio of the two given values, which results in 3/10 inch representing 7/8 mile. Now, we can find the unit rate by multiplying both sides by the reciprocal of 3/10 (which is 10/3):
(3/10) * (10/3) inch = (7/8) * (10/3) mile.
Simplifying the equation, we get:
1 inch = 35/24 mile.
This means that one inch represents 35/24 of a mile. The unit rate tells us how many inches are needed to represent one mile on the map.
Question 1:
To find the ratio of the time Pam spends driving home from work to the time she spends driving to work, we need to compare the two durations. The time spent driving home is given as 60 minutes, and the time spent driving to work is given as 45 minutes.
Ratio = Time driving home / Time driving to work
= 60 minutes / 45 minutes
Simplifying the ratio:
Ratio = (60/15) / (45/15)
= 4/3
Therefore, the ratio of the time Pam spends driving home from work to the time she spends driving to work is 4/3.
Question 2:
a. To find the unit price for the grocery store orange juice, we need to divide the cost by the amount of orange juice.
Unit price = Cost / Volume
Unit price = $2.00 / 64 fl oz
= $0.03125 per fl oz
≈ $0.031
Therefore, the unit price for the grocery store orange juice is approximately $0.031 per fl oz.
b. To find the unit price for the wholesale club orange juice, we follow the same method.
Unit price = $7.50 / 256 fl oz
= $0.0293 per fl oz
≈ $0.029
Therefore, the unit price for the wholesale club orange juice is approximately $0.029 per fl oz.
c. To determine where Ben should buy the orange juice for the best deal, he should compare the unit prices. The lower unit price indicates a better deal.
In this case, the unit price for the wholesale club orange juice is lower ($0.029) compared to the grocery store orange juice ($0.031). Therefore, Ben should buy the orange juice from the wholesale club to get the best deal.
Question 3:
To convert the map scale to a unit rate, we need to find how many inches represent one mile. The given scale is 3/10in. = 7/8mi.
To find the unit rate, we divide the numerator and denominator by the same value to simplify the ratio while keeping the same proportion.
Unit rate = (3/10) / (7/8)
= (3/10) * (8/7)
= 24/70
= 12/35
Therefore, one inch represents one mile at a unit rate of 12/35.
Interpretation of the unit rate: This means that for every 12 inches on the map, it represents 35 miles in real-life distance.