Luis took out a 3 year loan for 4500 at a furniture store

total 21 payments will louis make pay back.

d is correct.

step-by-step explanation:

louis took out a 3-years loan for $4500 at a furniture store to be paid back with monthly payment at a 15.9%

time of loan pay back = 3 years

payment mode is monthly. first we find number of months in 3 years.

in 1 year = 12 month

in 3 years = 12 x 3   = 36 months

loan offers no payment first fifteen months.

louis had to pay back in 36 months.

number of month left = 36 - 15 = 21

he had left only 21 months to pay back their loan value.

hence, total 21 payments will louis make pay back.

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.