The mechanics at Giuseppe’s Auto House specialize in changing fuel injection units and transmissions. Last week, they changed 5
fuel injection units and 10 transmissions and billed 70 hours. This week, they changed 8 fuel injection units and 8 transmissions and billed 64 hours. Let x represent the number of hours to change a fuel injection unit and y represent the number of hours to change a transmission.
What is the solution to the system that represents this scenario?
(5, 8)
(2, 6)
(4, 14)
(7, 8)
What is the solution to the system that represents this scenario?
(5, 8)
(2, 6)
(4, 14)
(7, 8)
2 answers:
Answer:
The solution is (2,6)
Step-by-step explanation:
Let
x-----> the number of hours to change a fuel injection unit
y-----> the number of hours to change a transmission
we know that
5x+10y=70 -----> equation A
8x+8y=64 -----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (2,6)
see the attached figure
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Answer:
Therefore F=2.387 hours gives a minimum value of energy expenditure E.
Step-by-step explanation:
Given that,
The energy expended by a bird per day
Differentiating with respect to F
Again differentiating with respect to F
Now set E'=0
Now
Since, E''>0 at F=2.387, So at F=2.387 , E has minimum value.
Therefore F=2.387 hours that minimizes energy expenditure.