Autumn has a different plan. She thinks the $2 for practicing with a father is fine. However, she would make $6 if he makes his first basket, $18 when he makes 2 baskets, and so on, making her earnings triple with each subsequent basket made by her father.

 6) 18, 54, 162, 486, 1458, 4374

                7) Exponential; because each previous term is multiplied by the growth factor (which is 3 "tripled" for this problem)

                8) see graph (attached)

Step-by-step explanation:

NOTE: Tripled is a hint that this is an exponential function which is of the form y = a(b)ˣ    where "a" is the initial value and "b" is the growth factor

For this problem, "a" is given as 2 and "b" is given as tripled which is 3

The equation is: y = 2(3)ˣ

Notice that they are using "m" to replace y and "b" to replace x

which results in the equation: m = 2(3)ᵇ

6)

7)

I know that the relationship is exponential because each previous term is multiplied by the growth factor which is 3 (tripled) for this problem.

8) see graph (attached)

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50