SOLUTION: Andre has up to 4.5 hours to spend traveling from home to his aunt's house. He drives his car for d hours of the trip and then rides a bus for b hours. The longest bus ride he can

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Question 1062248: Andre has up to 4.5 hours to spend traveling from home to his aunt's house. He drives his car for d hours of the trip and then rides a bus for b hours. The longest bus ride he can afford is less than 3.25 hours long.
A) Write and Graph a system of linear inequalities for b in terms of d.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Time accounting is d%2Bb%3C=4.5.
d for driving, b for bus.

No more than 3.25 hours for bus cost;
b%3C=3.25


Linear system in b in terms of d
system%28b%3C=-d%2B4.5%2Cb%3C=3.25%29
and you could choose b for the dependent variable, vertical scale, and d for the independent variable, horizontal scale.


graph%28300%2C300%2C-2%2C8%2C-2%2C8%2Cy%3C=-x%2B4.5%2Cy%3C=3.25%29
The SHADED region where the coordinates both are POSITIVE are the possible solutions. Note also the graph fails to indicate the necessary condtions that d must be less than 4.5.