Micah is 4 more than twice Angela’s age. The sum of their ages is 40. Set up the problem, Write an equation, Solve the equation, Determine how old Micah and Angela are.

Angela is 12 and Micah is 28.

Step-by-step explanation:

So, the problem tells us that Micah is four more than twice Angel's age, and the sum of both their ages is 40. So, if we use a to stand for Angela's age and m to stand for Micah's age, we can safely assume our equation will look like this:

(a × 2) + 4 = m. And once that is figured out, we use a + m = 40.

For right now, we can start just randomly entering in numbers for a. Let's try 10, for example.

(10 × 2) + 4 = 24.

But does 10 + 24 = 40? No, it equals 34. So we go higher.

(12 × 2) + 4 = 28.

Does 12 + 28 = 40? Yes, yes it does.

So we can say with all certainty that Micah is 28 years old, and Angela is 12.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.