Answer:
The equation of the line is y = -1.5x + 3
The y-intercept is (0,3)
The value of k is 3.
Step-by-step explanation:
y - 0 = -1.5 (x - 2)
y = -1.5x + 3
Answer:
t=5.18 minute
Step-by-step explanation:
Using Newton's law of cooling
T is temperature of a cup of coffee at any time t 
, is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.
To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee
Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee
Answer:
Step-by-step explanation: 36-30%= 25.2
your answer should be 25.2
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
