Question

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.

Answer 1

`(401)/(8)`

Explanation:

`\sf{y\:can\:also\:be\:refered\:to\:as\:f(x)}`

`\sf{Zeros\: are\: also\: called\: roots.}`

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

`y = - 8x + 401\\\\0 = - 8x + 401\\`

`-8x+401=0\\\\-8x+401-401=0-401\\\\-8x=-401\\\\(-8x)/(-8)=(-401)/(-8)\\\\x=(401)/(8)`

`\sf{Therefore,\: the\: zero\: of\: this\: function\: is\: (401)/(8)`