Question

When the input is 200 what is the output? Explain please.

Answer 1

The slope formula is delta y/delta x=m
You can choose any two points. Let's choose (0,25) and (1,30)
30-25/1-0=5/1=5
Slope intercept form is y=mx+b
b=the y intercept
y=5x+25 since (0,25) is the coordinates for the y inthercept.
Plug in 200: y=5(200)+25
Simplify and you get that y=1025
Your answer is 1025
Your welcome

Answer 2

When the input is 200, the output is 1025 based on the linear relationship observed in the given data.

The given input-output pairs suggest a linear relationship between x and y. To find the output (y) when the input (x) is 200, we need to determine the pattern or slope in the relationship.

Given the inputs x = 0, 1, 2, 3, 4 and the corresponding outputs y = 25, 30, 35, 40, 45, let's find the common difference in y:

Common difference = 30 - 25 = 35 - 30 = 40 - 35 = 45 - 40 = 5

The common difference is 5. This suggests that each time x increases by 1, y increases by 5.

Now, to find the output when x = 200, we can use the slope:

`\[ y = \text{Common difference} * x + \text{Initial value} \]`

Assuming an initial value of 25 (when x = 0), the equation becomes:

y = 5x + 25

When x = 200:

`\[ y = 5 * 200 + 25 = 1025 \]`

Therefore, when the input is 200, the output is 1025 based on the linear relationship observed in the given data.