Respuesta :
Answer:
[tex]f(t) = -0.05t +12[/tex]
Step-by-step 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.
[tex]f (0) = 3 + 9\\f (0) = 12[/tex]
With these two points we can find the function:
If m is the slope of the line, then:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{9-12}{60-0}\\\\m = -0.05\\\\f (t) = -0.05t + c[/tex]
Where by definition [tex]c = f(0) = 12[/tex]
Finally the formula is:
[tex]f(t) = -0.05t +12[/tex]
Answer:
f= - 1/20t+12
Step-by-step explanation:
i did the quiz and got this hope it helps :)