Question

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
2
one-half
1
two-thirds

Answer 1

@AndrewTheCookie @GreenCat @ghuczek @happyyanee4 @HugoHuynh

Answer 2

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
Answers:
2
one-half
1
two-thirds

Answer 3

Choose any data point and relate Lemon Juice (r) to Sugar (y).

If we pick data point 1 (Lemon Juice = .5, Sugar = 1), in other words:
.5r = 1

Data point 2:
2r = 4

Data point 3:
3r = 6

Solve for r.

Answer 4

r is the same value in each case.

Answer 5

so then the answer would be .5r = 1?

Answer 6

right?

Answer 7

@AndrewTheCookie what do you think?

Answer 8

@dimensionx

Answer 9

am i correct @dimensionx ?

Answer 10

@dimensionx am i correct?

Answer 11

You have .5r = 1.

Now you need to isolate the variable, r, to find your rate.

Answer 12

\[\frac{ 1 }{ 2 } r = 1\]
You need to get r by itself.

Answer 13

how do i do that?

Answer 14

In other words, if you have half of something called "r", and that equals 1, what value would you have if you had a whole "r" ?

Answer 15

2

Answer 16

There you go!

Answer 17

so then that's the answer?

Answer 18

yes, r = 2.

.5r = 1
.5(2) = 1

Answer 19

thank you soooooooo much!!!!!!!! i gave you medal and fan. can you help me with 1 more?

Answer 20

Sure, please close this question and open a new one :)

Answer 21

ok