the dolphin is 8 ft from its starting point (option A)
Explanation:The path model:
[tex]x^2\text{ - 8x + 4y = 0}[/tex]Considering the water's surface as the starting point, the value of y = 0
And x = distance from its starting point
We substitute for y in the model:
[tex]\begin{gathered} x^2\text{ - 8x + 4(0) = 0} \\ x^2\text{ - 8x = 0} \end{gathered}[/tex]Then we find the values of x:
[tex]\begin{gathered} x^2\text{ - 8x = 0} \\ x(x\text{ - 8) = 0} \\ x\text{ = 0 or x- 8 = 0} \\ \\ x\text{ - 8 = 0} \\ x\text{ = 8} \end{gathered}[/tex]From our result, the dolphin is 8 ft from its starting point (option A)
