Question

Use an input-output table to determine which graph accurately represents the function f(x)=20x+45
, using the given inputs.

Input Output
4
6
8
10


12


(1 point)
Responses

Answer 1

To determine which graph accurately represents the function \( f(x) = 20x + 45 \), we need to calculate the output values for the given input values.

**Using the function \( f(x) = 20x + 45 \):**

1. For \( x = 4 \):
\[
f(4) = 20(4) + 45 = 80 + 45 = 125
\]

2. For \( x = 6 \):
\[
f(6) = 20(6) + 45 = 120 + 45 = 165
\]

3. For \( x = 8 \):
\[
f(8) = 20(8) + 45 = 160 + 45 = 205
\]

4. For \( x = 10 \):
\[
f(10) = 20(10) + 45 = 200 + 45 = 245
\]

5. For \( x = 12 \):
\[
f(12) = 20(12) + 45 = 240 + 45 = 285
\]

Now we can fill in the output values in an input-output table:

| Input | Output |
|-------|--------|
| 4 | 125 |
| 6 | 165 |
| 8 | 205 |
| 10 | 245 |
| 12 | 285 |

Now, you can compare these calculated output values to the graphs you have. The graph that goes through the points (4, 125), (6, 165), (8, 205), (10, 245), and (12, 285) will be the correct representation of the function \( f(x) = 20x + 45 \).