Question

practice
complete the function table for each function given. (example 1)

1. $y = 2.5x - 8$

input, $x$	output, $y$
$0$
$5$
$10$

1. $y = -5x - 1$

input, $x$	output, $y$
$-1$
$0$
$1$

1. $y = \frac{1}{2}x + 3$

input, $x$	output, $y$
$2$
$6$
$10$

Explanation:

Problem 1: \( y = 2.5x - 8 \)

Step 1: For \( x = -5 \)

Substitute \( x = -5 \) into \( y = 2.5x - 8 \).
\( y = 2.5(-5) - 8 = -12.5 - 8 = -20.5 \)

Step 2: For \( x = 0 \)

Substitute \( x = 0 \) into \( y = 2.5x - 8 \).
\( y = 2.5(0) - 8 = 0 - 8 = -8 \)

Step 3: For \( x = 5 \)

Substitute \( x = 5 \) into \( y = 2.5x - 8 \).
\( y = 2.5(5) - 8 = 12.5 - 8 = 4.5 \)

Step 4: For \( x = 10 \)

Substitute \( x = 10 \) into \( y = 2.5x - 8 \).
\( y = 2.5(10) - 8 = 25 - 8 = 17 \)

Step 1: For \( x = -2 \)

Substitute \( x = -2 \) into \( y = -5x - 1 \).
\( y = -5(-2) - 1 = 10 - 1 = 9 \)

Step 2: For \( x = -1 \)

Substitute \( x = -1 \) into \( y = -5x - 1 \).
\( y = -5(-1) - 1 = 5 - 1 = 4 \)

Step 3: For \( x = 0 \)

Substitute \( x = 0 \) into \( y = -5x - 1 \).
\( y = -5(0) - 1 = 0 - 1 = -1 \)

Step 4: For \( x = 1 \)

Substitute \( x = 1 \) into \( y = -5x - 1 \).
\( y = -5(1) - 1 = -5 - 1 = -6 \)

Step 1: For \( x = -2 \)

Substitute \( x = -2 \) into \( y = \frac{1}{2}x + 3 \).
\( y = \frac{1}{2}(-2) + 3 = -1 + 3 = 2 \)

Step 2: For \( x = 2 \)

Substitute \( x = 2 \) into \( y = \frac{1}{2}x + 3 \).
\( y = \frac{1}{2}(2) + 3 = 1 + 3 = 4 \)

Step 3: For \( x = 6 \)

Substitute \( x = 6 \) into \( y = \frac{1}{2}x + 3 \).
\( y = \frac{1}{2}(6) + 3 = 3 + 3 = 6 \)

Step 4: For \( x = 10 \)

Substitute \( x = 10 \) into \( y = \frac{1}{2}x + 3 \).
\( y = \frac{1}{2}(10) + 3 = 5 + 3 = 8 \)

Answer:

Input, \( x \)	Output, \( y \)
0	-8
5	4.5
10	17

Problem 2: \( y = -5x - 1 \)