Terri's project for the Math Fair is a magnificent black box that she called a function machine. If you put 3 into her machine, the output is 8. If you put in 10, the output is 29; and if you put in 20, the output is 59. Homework help a. What would her machine do to an input of 5? What about -1? What about x?

b. Write an equation for Terri's machine​

a) An input of 5 gives an output of 14. An input of -1 gives an output of -4.

An input of x gives an output of 3x - 1

b) y = 3x - 1

Step-by-step explanation:

The pattern is that you multiply the number by 3 then subtract 1.

3*3 - 1 = 9 - 1 = 8

10 * 3 - 1 = 30 - 1 = 29

20 * 3 - 1 = 60 - 1 = 59

So:

a)

For an input of 5,

5 * 3 - 1 = 15 - 1 = 14

For an input of -1:

-1 * 3 - 1 = -3 - 1 = -4

For an input of x:

x * 3 - 1 = 3x - 1

So the equation is

b) y = 3x - 1

where x is the input value.

20

step-by-step explanation: