Question

A machine at a bakery is pouring out flour. The equation y=-270x+810 represents the amount of flour left in the machine, y, after x minutes. What is the x-intercept

Answer 1

To find the x-intercept for the equation y = -270x + 810, we need to solve for the value of x when y equals zero.

First, we can rewrite the equation in slope-intercept form, which will allow for easier solving:

y = (-270)x + 810

Next, we can set y equal to 0 to find the value of x when y equals zero:

0 = (-270)x + 810

Simplifying the equation, we get:

0 = -270x + 810

Next, we can add 270x to both sides, resulting in:

270x = 810

Then, we can divide both sides by 270, resulting in:

x = 3.00

Therefore, the x-intercept for the equation is x = 3.00, or 3 minutes. This means that if we pour out flour for 3 minutes, the amount of flour left in the machine will be 0.