Acoffee shop uses 4 liters of milk every day.
a. if there are 15 liters of milk in the refrigerator, after how many days will more milk need to be purchased? explain how you know.
b. if only half as much milk is used each day, after how many days will more milk need to be purchased?

explained

Step-by-step explanation:

a. daily requirement of milk = 4 liters

15 liters of milk is present

this 15 liters of milk will be used up in days

= 3(3/4) days , so after 3 days only more milk will be required to purchase.

b. daily milk consumption is reduced to half = 2 liters

Now, 15 liters of milk will be used up in = 7.5 or 7(1/2) days.

Hence now milk will be purchased after 7 days.  

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.