A function g(x) is defined as shown. G(x) = StartLayout enlarged left-brace 1st Row 1st column 2 + 3 x, 2nd column 0 less-than-or-equal-to x less-than 4 2nd Row 1st column 0.5 x + 10, 2nd column 4 less-than-or-equal-to x less-than 8 3rd Row 1st column 16, 2nd column x greater-than-or-equal-to 8 EndLayout What is the value of g(4)? 10 12 14 16

The correct answer is 4.

Step-by-step explanation:

The function g is defined as

g(x) =

We need to compute the value of the function at 4. This is done by putting the value of x as 4.

∴ g(4) = 0.5 × 4 + 10 = 12 as x = 4

Thus the value of the function g at the value 4 is given by 12.

$15 each

step-by-step explanation:

$45/3 children= $15 each

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for