contestada

A function follows the rule y = -75 - 5x. When the function's output is 25, the equation is 25 = -75 - 5x. What is the function input when the output is 25?

Respuesta :

calculista

Answer:

The function input is -20 when the output is 25

Step-by-step explanation:

we have

[tex]y=-75-5x[/tex]

where

y is the dependent variable or output

x is the independent variable or input

If the output is 25

then

y=25

substitute

[tex]25=-75-5x[/tex]

Solve for the function input is the same that solve for x

Isolate the variable x

Adds 5x both sides

[tex]25+5x=-75-5x+5x[/tex]

[tex]25+5x=-75[/tex]

subtract 25 both sides

[tex]25+5x-25=-75-25[/tex]

[tex]5x=-100[/tex]

Divide by 5 both sides

[tex]x=-20[/tex]

therefore

The function input is -20 when the output is 25

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