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Answer :
To find the stopping distance while talking on a cell phone and driving at 65 mph, we use the function [tex]\( C(x) = 0.0086x^2 + 1.11x - 1.37 \)[/tex], where [tex]\( x \)[/tex] is the speed in mph.
Here are the steps to calculate the stopping distance:
1. Substitute the speed into the function:
We need to find [tex]\( C(65) \)[/tex]. This means we'll substitute [tex]\( x = 65 \)[/tex] into the equation.
2. Calculate each part of the function separately:
- First, calculate [tex]\( 0.0086 \times 65^2 \)[/tex].
- Then, calculate [tex]\( 1.11 \times 65 \)[/tex].
- Lastly, consider the constant term [tex]\(-1.37\)[/tex].
3. Add these values together:
- Add the results from the calculations above together to find the total stopping distance.
4. Round the result:
Once you have the total, round it to the nearest hundredth for precision.
For 65 mph, after performing these calculations, the stopping distance is approximately 107.12 feet when rounded to the nearest hundredth.
Here are the steps to calculate the stopping distance:
1. Substitute the speed into the function:
We need to find [tex]\( C(65) \)[/tex]. This means we'll substitute [tex]\( x = 65 \)[/tex] into the equation.
2. Calculate each part of the function separately:
- First, calculate [tex]\( 0.0086 \times 65^2 \)[/tex].
- Then, calculate [tex]\( 1.11 \times 65 \)[/tex].
- Lastly, consider the constant term [tex]\(-1.37\)[/tex].
3. Add these values together:
- Add the results from the calculations above together to find the total stopping distance.
4. Round the result:
Once you have the total, round it to the nearest hundredth for precision.
For 65 mph, after performing these calculations, the stopping distance is approximately 107.12 feet when rounded to the nearest hundredth.
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