A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rat
e.
What is the insect population at the end of week 11?
Round to the nearest whole number.
At the end of the week 0 1 2
Insect population 20 30 45
What is the insect population at the end of week 11?
Round to the nearest whole number.
At the end of the week 0 1 2
Insect population 20 30 45
1 answer:
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Answer:
y = - 4x + 16
Step-by-step explanation:
Assuming you require the equation of the line passing through the points.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 4) and (x₂, y₂ ) = (5, - 4)
m = =
= - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 4), then
4 = - 12 + c ⇒ c = 4 + 12 = 16
y = - 4x + 16 ← equation of line
