Question

Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint.The number f of figurines left to paint is a function of t, the amount of time in minutes Colin spends painting. write the functions formula

Answer 1

f= - 1/20t+12

Explanation:

i did the quiz and got this hope it helps :)

Answer 2

`f(t) = -0.05t +12`

Explanation:

To solve this problem we must pay attention to the following data supplied:

- f It is the number of figurines that remain to be painted.

- t amount of time, in minutes, that Colin spends painting

- Colin takes 20 minutes painting each figurines.

- After painting 60 min, he still has 9 figurines left. f (60) = 9

If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.

Then, at the beginning he has 9 +3 figurines to be painted.

`f (0) = 3 + 9\\f (0) = 12`

With these two points we can find the function:

If m is the slope of the line, then:

`m = (y_2-y_1)/(x_2-x_1)\\\\m = (9-12)/(60-0)\\\\m = -0.05\\\\f (t) = -0.05t + c`

Where by definition
`c = f(0) = 12`

Finally the formula is:

`f(t) = -0.05t +12`