A subscription to Time magazine is $24.97 for one year, $45.94 for two years, or $74.91 for three years. Which plan is least expensive if you want the subscription per year? Solve this problem using unit price.(1 point)
Responses
$24.97 for one year
$24.97 for one year
$45.94 for two years
$45.94 for two years
$74.91 for three years
$74.91 for three years
The plans are the same price for two years.
The plan that is least expensive per year is the one-year plan for $24.97.
Unit Pricing Quick Check
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Question
A business is ordering copy paper. At one company, a box with 10 reams of paper costs $56. At another company, a box with 8 reams of paper costs $36. What is the unit price for each ream? (1 point)
Responses
5.60 reams/$1.00 and 4.50 reams/$1.00
5.60 reams/$1.00 and 4.50 reams/$1.00
$5.60/ream and $4.50/ream
$5.60/ream and $4.50/ream
$0.18/ream and $0.22/ream
$0.18/ream and $0.22/ream
0.18/ream/$1.00 and 0.22 ream/$1.00
0.18/ream/$1.00 and 0.22 ream/$1.00
The unit price for each ream at the first company is $5.60/ream and at the second company is $4.50/ream.
To determine which plan is least expensive per year, we can calculate the unit price for each plan. The unit price represents the cost per year of the subscription.
For the first plan, the subscription is $24.97 for one year. Therefore, the unit price is $24.97 per year.
For the second plan, the subscription is $45.94 for two years. To calculate the unit price, we divide the total cost by the number of years: $45.94 ÷ 2 = $22.97 per year.
For the third plan, the subscription is $74.91 for three years. To calculate the unit price, we divide the total cost by the number of years: $74.91 ÷ 3 = $24.97 per year.
Comparing the unit prices, we can see that the second plan, which costs $22.97 per year, is the least expensive option.
Mrs. Hara wants to purchase blue light blocking glasses for her family. Company 1 sells the glasses for $40 each, and Company 2 sells the same glasses at 4 for $140. How much will Mrs. Hara save, per pair of glasses, if she uses Company 2?(1 point)
Responses
$20.00
$20.00
$75.00
$75.00
$100.00
$100.00
$5.00
To determine how much Mrs. Hara will save per pair of glasses, we can calculate the unit price for each company.
For Company 1, the glasses cost $40 each.
For Company 2, the glasses cost 4 for $140. To calculate the unit price, we divide the total cost by the number of glasses: $140 ÷ 4 = $35 per pair.
To find the savings, we subtract the unit price of Company 2 from the unit price of Company 1: $40 - $35 = $5.
Therefore, Mrs. Hara will save $5 per pair of glasses if she uses Company 2.
At the grocery store, one brand of ice cream costs $4.50 for 48 ounces. The same brand costs $7 for 128 ounces or $3 for 64 ounces. Which size has the lower unit price?(1 point)
Responses
128 ounces
128 ounces
48 ounces
48 ounces
They cost the same per ounce.
They cost the same per ounce.
64 ounces
To determine which size has the lower unit price, we need to calculate the unit price for each option.
For the first option, the ice cream costs $4.50 for 48 ounces. To calculate the unit price, we divide the total cost by the number of ounces: $4.50 ÷ 48 = $0.09375 per ounce.
For the second option, the ice cream costs $7 for 128 ounces. To calculate the unit price, we divide the total cost by the number of ounces: $7 ÷ 128 ≈ $0.05469 per ounce.
For the third option, the ice cream costs $3 for 64 ounces. To calculate the unit price, we divide the total cost by the number of ounces: $3 ÷ 64 ≈ $0.046875 per ounce.
Comparing the unit prices, we can see that the third option, 64 ounces, has the lowest unit price of approximately $0.046875 per ounce.
At Family Market, an 8-can pack of bottles costs $4.48, and a 24-can case costs $9.60. (Both the bottle and the can are 12 ounces.) What is the unit price for each?(1 point)
Responses
$1.79/bottle and $2.53/can
$1.79/bottle and $2.53/can
$0.56/bottle and $0.40/can
$0.56/bottle and $0.40/can
1.79 bottles/$1.00 and 2.53 cans/$1.00
1.79 bottles/$1.00 and 2.53 cans/$1.00
0.56 bottle/$1.00 and 0.40 can/$1.00
0.56 bottle/$1.00 and 0.40 can/$1.00
To determine the unit price for each option, we divide the total cost by the number of bottles or cans.
For the 8-can pack of bottles that costs $4.48, the unit price is $4.48 ÷ 8 = $0.56 per bottle.
For the 24-can case that costs $9.60, the unit price is $9.60 ÷ 24 = $0.40 per can.
Therefore, the unit price for the 8-can pack of bottles is $0.56/bottle and for the 24-can case is $0.40/can.