The constant of proportionality in terms of the cost per text is the coefficient of

in the equation

. Since the coefficient of

is 0.25, the constant of proportionality in terms of the cost per text is 0.25.
Proportionality constants are usually expressed as fractions, so lets convert 0.25 to a fraction. To do that we are going to add the denominator 1 to our decimal, and then we will multiply both numerator and denominator by ten for every number after the decimal point:


Finally, we can simplify our fraction:

We can conclude that the constant of proportionality in text of the cost per text is
1/4
Answer:12
Step-by-step explanation:
Answer:
7,034
Step-by-step explanation:
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.