Mikayla borrowed $ 40 from her mom . The function y = - 8x + 401 represents her outstanding balance y after x weekly payments, find the zero of the function.

Respuesta :

Answer:

[tex]\frac{401}{8}[/tex]

Step-by-step explanation:

[tex]\sf{y\:can\:also\:be\:refered\:to\:as\:f(x)}[/tex]

[tex]\sf{Zeros\: are\: also\: called\: roots.}[/tex]

The roots (zeros) are the [tex]x[/tex] values where the graph intersects the [tex]x[/tex]-axis. To find the roots (zeros), replace [tex]y[/tex] with 0 and solve for [tex]x[/tex].

[tex]y = - 8x + 401\\\\0 = - 8x + 401\\[/tex]

[tex]-8x+401=0\\\\-8x+401-401=0-401\\\\-8x=-401\\\\\frac{-8x}{-8}=\frac{-401}{-8}\\\\x=\frac{401}{8}[/tex]

[tex]\sf{Therefore,\: the\: zero\: of\: this\: function\: is\: \frac{401}{8}[/tex]

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