Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made. −7x + 25 = 48 Step
1 answer:
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Answer:
a) T(t)= 100e^(-0.0513t)
b) See attachment for graph
y-intercept is inital temperature
domain is t≥0, range is 0 <T≤100
c) 44.9min
Step-by-step explanation:
a) at t=0, T=100
at t=1, T=95
T(t)= Ae^-kt
100=Ae^(-k×0)
A=100
95=100e^(-k
k=0.0513
T(t)= 100e^(-0.0513t)
b) as time reaches infinity, temperature of pudding becomes approximately equal to 0. x-axis is the asyptote of the graph
c) 10= 100e^(-0.0513t)
t= 44.9 min
Answer:
Therefore , A=184
Step-by-step explanation:
Given function is
where T(t) is the temperature in °C and t is time in minute and A and k are constants.
She noticed that after 18 minutes the temperature of the pie is 138°C
Putting T(t) =138°C and t= 18 minutes
.....(1)
Again after 36 minutes it is 184°C
Putting T(t) =184°C and t= 36 minutes
.......(2)
Dividing (2) by (1)
Taking ln both sides
Putting the value k in equation (1)
⇒A= 184.
Therefore , A=184