Suppose y varies directly as x and y=16 when x=8 find y when x=16
1 answer:
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22 houses can be cleaned in 11 hours.
Step-by-step explanation:
It is given that;
6 hours = 12 houses cleaned
1 hour =
1 hour = 2 houses cleaned
In 1 hour, 2 houses can be cleaned, therefore,
11 hours = Time*houses cleaned in one hour
11 hours = 11*2 =22 houses cleaned
22 houses can be cleaned in 11 hours.
Keywords: unit rate, multiplication
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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.
