Answer:
A) The point (1, 0.60) means that one pound of potatoes cost $0.60.
F) The point (40, 24) means that 40 pounds of potatoes cost $24.00.
Step-by-step explanation:
The given graph shows the linear relationship between the total cost and the number of pounds of potatoes.
In order to determine the total cost of potatoes per pound, use the following points on the graph:
Let (x₁, y₁) = (20, 12)
(x₂, y₂) = (25, 15)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (15 - 12) / (25, 20)
m = 3/5
Therefore, the slope of the line is 3/5 or 0.60. This means that the total cost increases by $0.60 for every pound of potatoes.
Option A: Since we determined that the slope represents the change in total cost increases by $0.60 for every pound of potatoes. Multiplying the number of pounds by the cost per pound, $0.60, will give you the total cost of the potatoes. Thus, 1 pound of potatoes × $0.60 per pound = $0.60.
This matches the points described in Option A, thereby making it as one of the valid answers.
Option B) is incorrect because the total cost of 12 pounds of potatoes is $7.20. The given option states that $7.20 is the cost per pound of potatoes, which is false. The cost per pound of potatoes is $0.60.
Option C) Similar to Option B, 12 pounds of potatoes doesn't cost $20 per pound.
Option D) The descriptions of the coordinates, (25, 15) were mixed up: it should have been "25 pounds of potatoes cost $15." Hence, Option D is incorrect.
Option E) Similar to Option D, the descriptions of the coordinates, (30, 18) were mixed up: it should have been "30 pounds of potatoes cost $18." Hence, Option D is incorrect.
Option F) The point, (40, 24) appropriately represents the total cost of $24 for the 40 pounds of potatoes. Therefore, Option F is correct.
