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04.09.2019 •
Mathematics
Write an equation to model each problem. solve the equation.
1- at 12 noon in anchorage, alaska, janice noticed that the temperature outside was 12°f. the temperature dropped at a steady rate of 2°f per hour. at what time was the temperature -4°f?
2- zelly works 20 hours a week at a food market for $7.50 an hour. she takes home $6.75 an hour after deductions. what is her rate for deductions?
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Ответ:
1) The equation of the temperature in function of the time is
T(t) = 12 - 2t, with t in hours
The temperature is -4F after 8 hours, so, at P.M.
2) 6.75 = 7.50r
Her rate of deductions is 10% a day.
Step-by-step explanation:
1) This problem can be modeled by a first order equation
T(t) = T(0) + rt
In which T(0) is the temperature at instant zero and r is the rate of growth(r>0) or decline(r<0).
Since at 12 noon, the temperature outside is 12F, T(0) = 12. The temperature drops at the steady rate of 2F an hour, so r = -2.
The equation of the temperature in function of the time is
T(t) = 12 - 2t, with t in hours
The temperature is -4F when
-4 = 12 - 2t
2t = 16
t = 8h
The temperature is -4F after 8 hours, so, at P.M.
2) This problem can be modeled by the following first order equation
P = rP(0).
Where P is her pay, r is the rate of the initial money that Zelly takes home and P(0) is her initial pay.
In hour problem, we have that P = $6.75 and P(0) = $7.50.
So
6.75 = 7.50r
r = 0.9 means that Zelly keeps 90% of her pay. It means that her rate of deductions is 10% a day.
Ответ:
The line passing through the origan (Graph 2 on Edu is correct.)
Step-by-step explanation: