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Answer :
To find the stopping distance while talking on a cell phone at a speed of 65 mph, we can use the given function:
[tex]\[ C(x) = 0.0086x^2 + 1.11x - 1.37 \][/tex]
Here, [tex]\( x \)[/tex] is the speed. In this case, [tex]\( x = 65 \)[/tex] mph.
Step 1: Substitute [tex]\( x = 65 \)[/tex] into the function.
[tex]\[ C(65) = 0.0086(65)^2 + 1.11(65) - 1.37 \][/tex]
Step 2: Calculate [tex]\( 65^2 \)[/tex].
[tex]\[ 65^2 = 4225 \][/tex]
Step 3: Substitute [tex]\( 4225 \)[/tex] back into the equation.
[tex]\[ C(65) = 0.0086 \times 4225 + 1.11 \times 65 - 1.37 \][/tex]
Step 4: Perform the multiplications.
- [tex]\( 0.0086 \times 4225 = 36.335 \)[/tex]
- [tex]\( 1.11 \times 65 = 72.15 \)[/tex]
Step 5: Add the results of the multiplications and subtract 1.37.
[tex]\[ C(65) = 36.335 + 72.15 - 1.37 \][/tex]
Step 6: Simplify the expression.
[tex]\[ C(65) = 107.115 \][/tex]
Step 7: Round the result to the nearest hundredth.
The stopping distance is approximately [tex]\( 107.12 \)[/tex] feet.
Therefore, if you are driving at 65 mph while talking on a cell phone, it will take about 107.12 feet to stop.
[tex]\[ C(x) = 0.0086x^2 + 1.11x - 1.37 \][/tex]
Here, [tex]\( x \)[/tex] is the speed. In this case, [tex]\( x = 65 \)[/tex] mph.
Step 1: Substitute [tex]\( x = 65 \)[/tex] into the function.
[tex]\[ C(65) = 0.0086(65)^2 + 1.11(65) - 1.37 \][/tex]
Step 2: Calculate [tex]\( 65^2 \)[/tex].
[tex]\[ 65^2 = 4225 \][/tex]
Step 3: Substitute [tex]\( 4225 \)[/tex] back into the equation.
[tex]\[ C(65) = 0.0086 \times 4225 + 1.11 \times 65 - 1.37 \][/tex]
Step 4: Perform the multiplications.
- [tex]\( 0.0086 \times 4225 = 36.335 \)[/tex]
- [tex]\( 1.11 \times 65 = 72.15 \)[/tex]
Step 5: Add the results of the multiplications and subtract 1.37.
[tex]\[ C(65) = 36.335 + 72.15 - 1.37 \][/tex]
Step 6: Simplify the expression.
[tex]\[ C(65) = 107.115 \][/tex]
Step 7: Round the result to the nearest hundredth.
The stopping distance is approximately [tex]\( 107.12 \)[/tex] feet.
Therefore, if you are driving at 65 mph while talking on a cell phone, it will take about 107.12 feet to stop.
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