Question

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?

Answer 1

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