9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
X - $42.15 > $20.00
<u> + $42.15 + $42.15</u>
x > $62.15
Answer:
y = 5/2x - 7
Step-by-step explanation:
5x - 2y = 4
5x - 4 = 2y
y = 5/2x - 2
Slope = 5/2
Point (2,-2)
y-intercept: -2 - (5/2)(2) = -2 - 5
= -7