You mix 1 and one half quarts of juice with 3 and three fourths quarts of ginger ale to make fruit punch. What is the ratio of the amount of juice to the amount of ginger ale in simplest form?

2 : 5 is the ratio of the amount of juice to the amount of ginger ale.

Step-by-step explanation:

Given:

You mix 1 and one half quarts of juice with 3 and three fourths quarts of ginger ale to make fruit punch.

Now, to get the ratio of the amount of juice to the amount of ginger ale.

Amount of juice =

Amount of ginger ale =

So, to get the ratio of amount of juice to amount of ginger ale:

On simplifying it:

Therefore, 2 : 5 is the ratio of the amount of juice to the amount of ginger ale.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.