Answer:
see explanation
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y + 6 = (x - 4)
Multiply through by 2 to eliminate the fraction
2y + 12 = 3(x - 4) ← distribute
2y + 12 = 3x - 12 ( subtract 2y from both sides )
12 = 3x - 2y - 12 ( add 12 to both sides )
24 = 3x - 2y, that is
3x - 2y = 24 ← in standard form
Answer:
(a) 13.85 °C
Step-by-step explanation:
The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...
ΔT = 15(10/15)^(t/25)
We want to find the value of this at t=55. It is ...
ΔT = 15(2/3)^(55/25) ≈ 6.15
This is the amount the temperature of the drink is below room temperature.
drink temperature = (20 - 6.15) °C = 13.85 °C
The temperature of the drink after 55 minutes is about 13.85 °C.
