# Math Problem

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Driving Home Problem

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• Are we home yet?! We have been driving for 10 whole minutes since we left your football game.
• Ask me in 15 minutes
• Its been 15 minutes!
• Well in 10 minutes we where 11km from home and in 15 minutes we are 8 km from home.
• In 20 minutes we will be -37 from home, in 25 minutes -40km from home, and 30 minutes we will be -53km from home
• How did you figure that out?!
• Well i used the equation Y=MX+B. Y is the distance, M is the Rate of change X is the time, and B is the starting point.
• Wait. Slow Down, where did you get 1.6 and -5?
• Yea so using this we plug in what we know. Here look at this paper
• Y=MX+B D=1.6T+B
• Oh sorry. To get M you need two sets. I used 10
• What if we where 7km from home?
• 7=-1.6T-5 Add +5 to -5 and 7 12=-1.6T Divide both numbers by 1.6 -7.5=T 7.5 mintues
• Just substitute Y with 7
• What if we drove for 0 km.
• Wow Thats Amazing! Im going to go try more when we get home.
• So what if we drove for 0 minutes. How would you find that?
• Well use the equation y=mx+b, and X is 0. If you do it right you would find that if you drove for 0 minutes you would be -5km from home.
• Well you would do the same but instead of making the X 0 you would make the Y 0. 0=-1.6x+-5 Then you will get -3.125
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