Respuesta :
200 sections will cost $7439.
We first see if the rate of change, the slope, is the same between data points. If it is, the function will be linear. We use the formula
m = (y₂ - y₁)/(x₂ - x₁)
For the first two data points, we have
m = (1889-409)/(50-10) = 1480/40 = 37
For the second two data points, we have
m = (4664-1889)/(125-50) = 2775/75 = 37
Now that we know the slope is the same, we can write the equation:
y - y₁ = m(x - x₁)
y - 409 = 37(x - 10)
y - 409 = 37x - 370
Add 409 to both sides:
y = 37x + 39
Using 200 as x,
y = 37(200) + 39 = 7439
We first see if the rate of change, the slope, is the same between data points. If it is, the function will be linear. We use the formula
m = (y₂ - y₁)/(x₂ - x₁)
For the first two data points, we have
m = (1889-409)/(50-10) = 1480/40 = 37
For the second two data points, we have
m = (4664-1889)/(125-50) = 2775/75 = 37
Now that we know the slope is the same, we can write the equation:
y - y₁ = m(x - x₁)
y - 409 = 37(x - 10)
y - 409 = 37x - 370
Add 409 to both sides:
y = 37x + 39
Using 200 as x,
y = 37(200) + 39 = 7439
