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:
See explanation
Step-by-step explanation:
The distibutive property states that for all real numbers a, b and c
Draw a rectangle with length of (a+b) units and width of c units. The area of this rectangle is
Divide this rectangle into two rectangles: first rectangle with the length of a units and the width of c units and the second rectangle with the length of b units and the width of c units. The area of these rectangles are
These two rectangles together form initial rectangle, so the sum of the area of two smaller rectangles is the area of the bigger rectangle.