Answer:
A solution curve pass through the point (0,4) when .
There is not a solution curve passing through the point(0,1).
Step-by-step explanation:
We have the following solution:
Does any solution curve pass through the point (0, 4)?
We have to see if P = 4 when t = 0.
A solution curve pass through the point (0,4) when .
Through the point (0, 1)?
Same thing as above
No solution.
So there is not a solution curve passing through the point(0,1).
Answer:
a). y = 0.25x + 15
b). x = 480 cups
Step-by-step explanation:
(a). Let the equation of the linear function passing through a point (x', y') is,
y - y' = m(x - x')
'm' = slope of the line
b = y-intercept
Two points lying on the linear function will be (200, 65) and (250, 77.5).
Slope of the line 'm' =
m =
=
= 0.25
Therefore, equation of the line passing through (200, 65) and slope 0.25 will be,
y - 65 = 0.25(x - 200)
y - 65 = 0.25x - 50
y = 0.25x + 15
(b). For y = $135 we have to calculate the number of cups of coffee produced.
135 = 0.25x + 15
0.25x = 135 - 15
0.25x = 120
x = 480 cups
Therefore, 480 cups of coffee will be produced.