The sum of three consecutive multiples of 3 is equal to 6 more than four times the smallest multiple. what is the largest multiple ? .

a.)9
b.)12
c.)15
d.)18

 (a) 9

Step-by-step explanation:

1st multiple of 3: 1(3x)

2nd multiple of 3: 2(3x)

3rd multiple of 3: 3(3x)

Sum = 4(1st multiple of 3) + 6

1(3x) + 2(3x) + 3(3x) = 4(3x) + 6

 3x  +    6x  +    9x  =  12x  + 6

                        18x  = 12x + 6

                          6x =           6

                            x = 1

Largest (3rd) multiple is: 3(3x)

                                      = 9x

                                      = 9 · 1

                                      = 9

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

1. 3

2. 4

3. 1

hope this ! have a great day.

-wfz