Question

what is the output value of the given function when the input value is -3?
y = 7x - 10
(-3, ?)

Explanation:

To find the output value (the value of \( y \)) of the function \( y = 7x - 10 \) when the input value (the value of \( x \)) is \( -3 \), we substitute \( x = -3 \) into the function and simplify.

Step 1: Substitute \( x = -3 \) into the function

We replace \( x \) with \( -3 \) in the equation \( y = 7x - 10 \):

$$ y = 7(-3) - 10 $$

Step 2: Simplify the expression

First, calculate \( 7(-3) \):

$$ 7(-3) = -21 $$

Then, substitute this result back into the equation and subtract 10:

$$ y = -21 - 10 $$

Simplify \( -21 - 10 \):

$$ y = -31 $$

So, when the input value is \( -3 \), the output value of the function is \( -31 \). The ordered pair is \( (-3, -31) \).

Answer:

To find the output value (the value of \( y \)) of the function \( y = 7x - 10 \) when the input value (the value of \( x \)) is \( -3 \), we substitute \( x = -3 \) into the function and simplify.

Step 1: Substitute \( x = -3 \) into the function

We replace \( x \) with \( -3 \) in the equation \( y = 7x - 10 \):

$$ y = 7(-3) - 10 $$

Step 2: Simplify the expression

First, calculate \( 7(-3) \):

$$ 7(-3) = -21 $$

Then, substitute this result back into the equation and subtract 10:

$$ y = -21 - 10 $$

Simplify \( -21 - 10 \):

$$ y = -31 $$

So, when the input value is \( -3 \), the output value of the function is \( -31 \). The ordered pair is \( (-3, -31) \).