The farmer graphs a step function to model the situation. which of the following describes the farmer’s graph for the step that includes 20.75 pounds, and what is the total cost of 20.75 pounds of almonds?

Missing data:
Almond Prices
Number of Pounds

Cost (per pound)
up to 10
$20

more than 10, and up to 20
$15

more than 20, and up to 30
$10

more than 30
$5

A) a horizontal line with an open circle at (20, 10) and a closed circle at (30, 10); $207.50
B) a horizontal line with a closed circle at (20, 10) and an open circle at (30, 10); $207.50
C) a horizontal line with an open circle at (21, 10) and a closed circle at (30, 10); $311.25
D) a horizontal line with a closed circle at (21, 10) and an open circle at (30, 10); $311.25

20.75 pounds is in the more than 20, and up to 30 ; $10 range.
y = 10(20.75)
y = 207.50

open circle means less than or greater than. close circle means "less than or equal to" or "greater than or equal to"

My answer : A) a horizontal line with an open circle at (20, 10) and a closed circle at (30, 10); $207.50

So, first, we should know that the length of OA is 7. Why? It's because OA is a radius and all radius in a specific circle are the same.
Next, we know that length AP is perpendicular to OA. How do we know this? It is because it is stated that AP is a tangent of OA. All tangents are perpendicular.
Knowing this, we could know that it is a right triangle, with lengths  7 and 25 as the legs and hypotenuse
Using Pythagorean theorem, 25^2 = 7^2 + b^2 
625 = 49 + b^2
576 = b^2
b = 24

So the length of AP is 24, or answer choice d.

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Hope this helps!