Bridges have expansion joints, or gaps so the bridge can expand due to temp. If the bridge has a gap of 1.3 cm when it is 22 degrees celcius, and a gap of 0.9 cm when it is 30 degrees celcius, can you help me find a linear equation?
I need help with this problem I have been wondering for a while.
Well the equation to help find the equation y=mx+b. but first, we have to find out m. We divide 0.9-1.3 by 30-22 and we get an answer of -0.05, which is m, or the slope . Am I right?
Then we need to find b, to find b, we would use this formula, 0.9= (-0.05)30+b, 0.9+1.5= 2.4, b=2.4 this is the y intercept. We now know that y= -0.05x+2.4
I don't know, Im a tweet!
The answer is 48 degrees celcius! Using the equation y=-0.05(48)+2.4=0. The slope of this is -0.05, so this means that every degree difference the gap moves 0.05cm. I feel like I got this problem correct!
Using the formula y=-0.05(x)+2.4, we can figure out that at 35 degrees celcius the gap was -0.65 cm, and at -10 degrees celcius the gap was 2.9 cm. But what temperature would that gap close completely?
Whale to go!
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