Hello! ) this is math can you me ? )

a) f(n) = 12n +8

b) f(10) = 128

c) The problem statement tells you this is the distance, in miles, from the store after Mila has traveled after 10 hours.

Step-by-step explanation:

a) The common difference of this arithmetic sequence is the difference between the 2nd and 1st terms: 32 - 20 = 12.

The initial value of the sequence is the value when n=1, namely 20.

Then the explicit formula for the sequence can be written:

... f(n) = 20 + 12(n -1)

and simplified to

... f(n) = 12n +8

b) To find f(10), we put 10 where n is in the formula and do the arithmetic:

... f(10) = 12·10 +8 = 120 +8 = 128

c) For the interpretation, we look to the definition of the function provided in the problem statement.

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6