Larry made 4 batches of punch. each batch uses 16 fluid oz of lemon juice and 3 pints of orange juice. if eacg serving is 1 cup, how many serving did he make all together

8 fluid oz = 1 cup
16 fluid oz of lemon juice=2 cups of lemon juice
(8/16 = 1/x ;*cross multiply* 8x = 16 ; x = 2)

1 pint = 2 cups
3 pints of orange juice = 6 cups of orange juice
(1/3 = 2/x ;*cross multiply* 1x = 6 ; x = 6)

So, 1 batch makes 8 cups of punch.
2 cups of lemon + 6 cups of orange = 8 cups

4 batches would make 32 cups of punch.

Each serving is 1 cup and he made 32 cups of punch, therefore

he made 32 servings all together.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.