Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:
(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5
Now we just evaluate t for 10:
f(10) = (5*10)+5
f(10) = 55
Answer:
Step-by-step explanation:
Given the Total revenue R(x) = 2x
Cost C(x) = 0.01x²+0.3x+30 where;
x = 30 and dx/dt = 9units per day.
Rate of change of revenue dR/dt = dR/dx • dx/dt
dR/dt = 2dx/dt
dR/dt = 2(9) = $18
Rate of change of revenue with respect to time is 18dollars/day.
Rate of change of cost dC/dt = dC/dx • dx/dt
dC/dt = (0.02x+0.3)dx/dt
dC/dt at x = 30 and dx/dt = 9 will give;
dC/dt = {0.02(30)+0.3}×9
dC/dt = (0.6+0.3) × 9
dC/dt = 0.9×9
dC/dt = $8.1
Rate of change of cost with respect to time is 8.1dollars/day
Profit = Revenue - Cost
Profit = 18-8.1
Daily Profit = $9.9
Answer:
Bill
Step-by-step explanation:
Answer:
2g + 2f = 5.16
7g + 9f = 21.24
Step-by-step explanation:
Let
Gala = g ; Fuji = f ; jazz = j
g + f + j = 5.16 - - - (1)
j = g + f - - - (2)
From (1):
g + f + g + f = 5.16
2g + 2f = 5.16 - - - (3)
Total pound picked by Tanner = 12
3 Pounds of g ; 5 pounds of f
j = 12 - (5 +3) = 4 pounds
3g + 5f + 4j = 21.24 - - - (4)
3g + 5f + 4(g + f) = 21.24
3g + 5f + 4g + 4f = 21.24
7g + 9f = 21.24 - - - - - (5)
