11. An airline charges $20 to check a piece of luggage up to 23 kilograms. For excess weight, it charges $5 more per kilogram. T
he airline rounds up to the next whole kilogram (a piece of luggage weighing 24.1 kg would be charged as 25 kg). The airline doesn't accept luggage over 32 kg. Which of the graphs below represents this information as a function?
2 answers:
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Answer:
Step-by-step explanation:
To start, you need to find the equation of both of these lines. For the orange one, the slope can be found with the points (-5,0) and (0,-4), where there is a drop of 4 for a run of 5. This is a slope of -4/5, and a y-intercept of -4. For the purple line, you can use the points (-2,0) and (0,1), where there is a rise of 1 for a run of 2 or a slope of 1/2 and a y intercept of 1. Therefore, the two equations are:
You can now set them equal to each other:
Add 4 to both sides:
Multiply both sides by 2:
Multiply both sides by 5:
Subtract 5x from both sides:
Divide both sides by -13:
Hope this helps!
