&KDSWHU
6-2
Key Concept
is a ratio that compares two unlikequantities.
is a ratio that is simplified to have a denominator of 1 unit.
It compares an amount, x, to one unit:.
is the price per unit of an item.
Unit rate
Unit cost
Rate
x
1
Update your skills. See pages 412 XIII, 413 XIV.
Unit Rate and Unit Cost
Objective To write rates •To find unit rates • To use unit cost to determine the
better or best buy • To compare rates
The price list at the right shows the sale prices for DVDs
in three different video stores. Which store has the
best buy?
To find the best buy, use the given price at each store to
find the unit rate, or the cost of one DVD. Then compare
the unit costs.
Which is the better buy?
- Write each rate. Divide to find the unit rate and unit cost.
$6.10
$7.02
- Compare unit costs: $6.10, $7.02
$6.10 $7.02
So buying a group of 7 tickets is the better buy.
cost
number of tickets
$63.18
9
$7.02
1
$6.096
1
$42.67
7
cost
number of tickets
1
Write each rate. Then divide the total cost by the number of units
to find the unit cost.
Compare: $9.33, $8.25, $9.50 The least cost for one DVD is $8.25.
So DVD Exchange has the best buy.
Abe’s DVD
Rate:
Unit rate: $9.33 per DVD
Unit cost: $9.33
$27.99
3
$9.33
1
$27.99
3
cost
number of
DVD Exchange
Rate:
Unit rate: $8.25 per DVD
Unit cost: $8.25
cost
number of
$33
4
$8.25
1
$33
4
DVD City
Rate:
Unit rate: $9.50 per DVD
Unit cost: $9.50
cost
number of
$9.50
1
$47.50
5
$47.50
5