Question

Which of the following represents a linear function with the same slope as the table below? "Select 2 that apply!

x
-4
-2
3
5
f(x)
14
8
-7
-13

James increases his muscle mass by 3 kg per day.
Cynthia has $200 in her savings account and spends $3 per day on coffee
6x-2y=12

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find a linear function with the same slope as the given table, we need to find two points from the table and calculate the slope between those points.

Let's take the points (-4, 14) and (-2, 8) from the table.

The slope between these two points can be calculated using the formula:
slope = (change in y) / (change in x)

slope = (8 - 14) / (-2 - (-4))
slope = -6 / 2
slope = -3

Now, let's check the options:

1) James increases his muscle mass by 3 kg per day.
The slope in the table is -3, which is not the same as the slope 3 given for James. So this option does not apply.

2) Cynthia has $200 in her savings account and spends $3 per day on coffee.
This option does not provide the necessary information to calculate the slope, so it does not apply.

3) 6x - 2y = 12
To determine the slope from this equation, we need to rewrite it in the slope-intercept form y = mx + b, where m is the slope. Let's rearrange the equation:

-2y = -6x + 12
y = (-6x + 12) / (-2)
y = 3x - 6

The slope of this function is 3, which is not the same as the slope -3 in the table. So this option does not apply.

Therefore, none of the given options apply as a linear function with the same slope as the table.