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Answer :
To find the stopping distance while talking on a cell phone and driving at a speed of 65 mph, we'll use the given function:
[tex]\[ C(x) = 0.0086x^2 + 1.11x - 1.37 \][/tex]
Here, [tex]\( x \)[/tex] represents the speed in mph. We'll substitute [tex]\( x = 65 \)[/tex] into the function:
1. Substitute [tex]\( x = 65 \)[/tex] into the function:
[tex]\[ C(65) = 0.0086(65)^2 + 1.11(65) - 1.37 \][/tex]
2. Calculate [tex]\( 65^2 \)[/tex]:
[tex]\[ 65^2 = 4225 \][/tex]
3. Multiply [tex]\( 0.0086 \)[/tex] by [tex]\( 4225 \)[/tex]:
[tex]\[ 0.0086 \times 4225 = 36.335 \][/tex]
4. Multiply [tex]\( 1.11 \)[/tex] by [tex]\( 65 \)[/tex]:
[tex]\[ 1.11 \times 65 = 72.15 \][/tex]
5. Add the results and subtract [tex]\( 1.37 \)[/tex]:
[tex]\[ 36.335 + 72.15 - 1.37 = 107.115 \][/tex]
6. Round the result to the nearest hundredth:
[tex]\[ 107.115 \text{ rounded to the nearest hundredth is } 107.12 \][/tex]
Therefore, the stopping distance while talking on a cell phone at 65 mph is approximately 107.12 feet.
[tex]\[ C(x) = 0.0086x^2 + 1.11x - 1.37 \][/tex]
Here, [tex]\( x \)[/tex] represents the speed in mph. We'll substitute [tex]\( x = 65 \)[/tex] into the function:
1. Substitute [tex]\( x = 65 \)[/tex] into the function:
[tex]\[ C(65) = 0.0086(65)^2 + 1.11(65) - 1.37 \][/tex]
2. Calculate [tex]\( 65^2 \)[/tex]:
[tex]\[ 65^2 = 4225 \][/tex]
3. Multiply [tex]\( 0.0086 \)[/tex] by [tex]\( 4225 \)[/tex]:
[tex]\[ 0.0086 \times 4225 = 36.335 \][/tex]
4. Multiply [tex]\( 1.11 \)[/tex] by [tex]\( 65 \)[/tex]:
[tex]\[ 1.11 \times 65 = 72.15 \][/tex]
5. Add the results and subtract [tex]\( 1.37 \)[/tex]:
[tex]\[ 36.335 + 72.15 - 1.37 = 107.115 \][/tex]
6. Round the result to the nearest hundredth:
[tex]\[ 107.115 \text{ rounded to the nearest hundredth is } 107.12 \][/tex]
Therefore, the stopping distance while talking on a cell phone at 65 mph is approximately 107.12 feet.
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