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Mr. Lewis fixes electronic equipment. He uses the function f(x) = 80x + 250 to determine his total charge, f(x), in dollars, where x is the number of hours he works. Which statement represents the rate of change of the function?

Respuesta :

Given:

Total charge, f(x), in dollars, for x number of hours is

[tex]f(x)=80x+250[/tex]

To find:

The correct statement for the rate of change of the function.

Solution:

Slope intercept form of a linear function is

[tex]y=mx+b[/tex]      ...(i)

where, m is slope and b is y-intercept.

We have,

[tex]f(x)=80x+250[/tex]       ...(ii)

On comparing (i) and (ii), we get

[tex]m=80, b=250[/tex]

Therefore, the slope or rate of change of the function is 80 and it represents that per hour changes are 80.

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