A group of friends were working on a student film. They spent all their budget on costumes and equipment. They spent $396 on costumes, and 45% of the total budget on equipment. What was the total budget for their student film?

The total budget for their student film was $720.

Step-by-step explanation:

From the information given, you know that they spent all their budget on costumes and equipment and that they spent 45% of the total budget on equipment. From this, you could inferred that in order to find the percentage they spent on costumes you have to subtract 45% from 100% that would indicate the total amount spent:

100%-45%=55%

According to this, you know that they spent 55% of the total budget on costumes and the statement says that the amount was $396. With this information, you can use a rule of three to find the amount that represents 100%:

396 →  55%

 x    ← 100%

x=(396*100)/55=720

The answer is that the total budget for their student film was $720.

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.