Bill earns $12 per hour and works at most 40 hours per week. Identify the independent and dependent quantity in the situation, a
2 answers:
Answer:
number of hours worked (independent); total earnings (dependent); domain spans from 0 to 40; range stretches from $0 to $480.
Step-by-step explanation:
Bill receives $12 hourly and is limited to a maximum of 40 hours each week.
Independent variable: the quantity of hours he works weekly.
Dependent variable: the total amount he earns, which is contingent on his working hours.
His working hours will not exceed 40 in a week, indicating that his highest possible earnings are dollars (not beyond this).
Domain is established between 0 and 40 hours.
Range is defined between $0 and $480.
<pthus the="" chosen="" answer="" is:="">C - number of hours worked (independent); total earnings (dependent); domain of 0 to 40; range of $0 to $480.
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Response:
0.14 s
Detailed breakdown:
s = -2.7 t² + 40t + 6.5
Set s = 12
12 = -2.7t² + 40t + 6.5 Rearranging yields
-2.7t² + 40t + 6.5 - 12 = 0
-2.7t² + 40t - 5.5 = 0
Utilize the quadratic formula
a = -2.7; b = 40; c = -5.5
x = 7.41 ± 7.27
x₁ = 0.14; x₂ = 14.68
The graph indicates roots at x₁ = 0.134 and x₂ = 14.68.
The surface of the Moon stands at -12 ft. Thus, the ball will reach a height of 12 ft above the Moon’s surface (crossing the x-axis) at 0.14 s.
The second root indicates when the ball is again 12 ft above the lunar surface as it descends.
