Answer:
F = - 20h + 450
Step-by-step explanation:
Since the relationship is linear then the function is of the form
F = ax + b
Calculate a using the slope formula
a = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 410) ) and (x₂, y₂ ) = (1, 430) ← 2 ordered pairs from the table
a = [tex]\frac{430-410}{1-2}[/tex] = - 20 , then
F = - 20h + b ← is the partial equation
To find b substitute any ordered pair from the table into the partial equation
Using (3, 390 ), then
390 = - 60 + b ⇒ b = 390 + 60 = 450
F = - 20h + 450 ← linear function
