The table below shows the amounts of lemon juice and sugar used in each container of lemonade. The ratio of lemon juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.
Lemon Juice (cup) Sugar (cup)
one-half 1
2 4
3 6
Group of answer choices
two-thirds
one-half
1
2
To find the unit rate, we need to compare the lemon juice to the sugar for each container.
For the first container, we have 1/2 cup of lemon juice and 1 cup of sugar. The ratio of lemon juice to sugar is 1:r. We can write this as:
1/2 : 1 = 1:r
To find r, we can cross multiply:
(1/2)(r) = 1(1)
r/2 = 1
r = 2
So the unit rate is 2.