1.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 wholesale club orange juice. Round your answer to the nearest thousandth.
C. Where should Ben buy the orange juice if he wants the best deal? Explain.
2.Convert the map scale to a unit rate. How many inches represent one mile? Show your work. Interpret the meaning of the unit rate.
3/10 in = 7/8 mi
A and B
Unit price:
if 64 fl ounces cost $2.00
then 1 fl ounce costs 2.00/64 = ....
C, the best buy would be with the lower unit price
2. What map? your call
okay
1. To find the unit price, you need to divide the price by the number of fluid ounces.
A. The unit price for the orange juice at the grocery store is $2.00 divided by 64 fl oz. So, $2.00 / 64 fl oz = $0.03125 per fl oz. Rounded to the nearest thousandth, the unit price is approximately $0.031.
B. The unit price for the orange juice at the wholesale club is $7.50 divided by 256 fl oz. So, $7.50 / 256 fl oz ≈ $0.029296875 per fl oz. Rounded to the nearest thousandth, the unit price is approximately $0.029.
C. To determine the better deal, compare the unit prices. The lower the unit price, the better the deal. In this case, the wholesale club orange juice has the lower unit price, so Ben should buy the orange juice from the wholesale club to get the better deal.
2. To convert the map scale to a unit rate, you need to determine how many inches represent one mile using the given information.
The given measurement is 3/10 in = 7/8 mi.
To find how many inches represent one mile, you can set up a proportion. The proportion is:
3/10 in = 7/8 mi
To isolate the variable, cross multiply:
(3/10) * (8 mi) = (7/8) * (x in)
Simplify both sides of the equation:
24/10 = 7x/8
To solve for x, multiply both sides by 8/7:
(8/7) * (24/10) = x
Simplify:
192/70 = x
Reduce the fraction:
96/35 = x
So, one mile is represented by approximately 96/35 inches. The unit rate is approximately 2.742857143 inches per mile.
Interpretation of the unit rate: This means that for every mile traveled, the corresponding distance on the map would be approximately 2.742857143 inches.
3.10 in on the map represents 7/8 mi in reality.