Question

A large solar panel can generate power at a maximum rate of 400400400 kilowatts per day. It generates power at a constant rate when the sky is cloudy, and it generates power at a constant rate when the sky is clear. Let CCC represent the number of hours when the sky is cloudy and LLL represent the number of hours when the sky is clear during which the solar panel can generate power without exceeding its capacity. 5C+32L \leq 4005C+32L≤4005, C, plus, 32, L, is less than or equal to, 400 According to the inequality, at what rate does the solar panel generate power when the sky is cloudy, and at what rate does it generate power when the sky is clear? The solar panel generates power at the rate of kilowatts per hour when the sky is cloudy, and kilowatts per hour when the sky is clear. Does the solar panel exceed its maximum capacity when the sky is cloudy for 333 hours and clear for 666 hours?

Answer 1

For a Cloudy sky , the solar panel requires 80 hours to generate 400 kilowatts per day

For a clear sky the solar panel requires 12.5 hours to generate 400 kilowatts per day.

The solar panel does not exceed its maximum capacity of 400 kilo watts per day because it will generate 207 kilo watts per day.

Step-by-step explanation:

1.Given the inequality for power generated as;

5C+32L≤400 where C is number of hours when sky is cloudy and L is the number of hours when the sky is clear then;

The equation can be written using x and y as

5x + 32 y ≤ 400 -----where x=C and y=L

Graphing the equation on a graph tool for values of x and y that produce maximum capacity,the graph is attached below where x=80 hours and y=12.5 hours.

This means C=cloudy sky = 80 hours and L=clear sky= 12.5 hours

For a Cloudy sky , the solar panel requires 80 hours to generate 400 kilowatts per day

For a clear sky the solar panel requires 12.5 hours to generate 400 kilowatts per day.

2.

Given C=3 hours and L= 6 hours substitute values in the inequality

5C+32L≤400

5*3 + 32*6 ≤ 400

15+192 ≤ 400

207 ≤ 400

The solar panel does not exceed its maximum capacity of 400 kilo watts per day.

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Inequalities :brainly.com/question/10921764

Keywords: solar panel, power, maximum rate, sky, cloudy, clear,

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Answer 2

Answer:

As in the equation,

4005C+32L≤4005

Where L<=400

As capacity lies within the limits,so solar pannels have capacity to sustain 666 hours.