What value of a will yield a solution of (2,8) for the system?
y = ax
ax + y = 16

The value of a is 4 ⇒ D

Step-by-step explanation:

In the system of equations

∵ y = ax ⇒ (1)

∵ ax + y = 16 ⇒ (2)

∵ The solution of the system is (2, 8)

∴ x = 2 and y = 8

→ To find the value of a substitute x by 2 and y by 8 in equation (1) or (2)

∵ y = ax

∵ y = 8 and x = 2

∴ 8 = a(2)

∴ 8 = 2a

→ Divide both sides by 2

∵ =

∴ 4 = a

∴ The value of a is 4

  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).

b

step-by-step explanation: