Question

While trick-or-treating, John gets about 10 candy bar per minute. He promises

his dad he will share 20 of his candy bars with him. The number of candy bars, y,
that John receives per minute, x, can be modeled by the equation y = 10x - 20.
Determine the x-intercept.

Answer 1

The x-intercept for the equation y = 10x - 20 is found by setting y to zero and solving for x, which gives an x-intercept at x = 2.

Step-by-step explanation:

The x-intercept of a linear equation is the value of x when y is zero. To find the x-intercept for the equation y = 10x - 20, we set y to 0 and solve for x:

0 = 10x - 20

Adding 20 to both sides gives us:

20 = 10x

Dividing both sides by 10 to isolate x, we get:

x = 2

Therefore, the x-intercept is at x = 2, which means that at 2 minutes, John effectively receives no additional candy bars because he has promised to give 20 away.