Four-inch pieces are repeatedly cut from a 48-inch string. The length of the string after x cuts is given by y=48 - 4x.
Find and interpret the x and y intercepts. State the meaning of each in the contest of the situation

Respuesta :

The x-intercept is 12 and represents the number of pieces and the y-intercept is 48 and represents the initial length.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given function,

y = 48 - 4x

At x-intercept, y = 0

48 - 4x = 0

x = 12

Since x is the number of cuts so it represents that we can cut 12 pieces.

At y-intercept , x = 0

y = 48

Since 48 is the initial length so it represents the initial length.

Hence "The beginning length is represented by the y-intercept, which is 48, and the number of pieces is represented by the x-intercept, which is 12".

For more about the linear function,

brainly.com/question/21107621

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