Question

The graph below shows the relationship between pounds of dog food and total cost, in dollars, for the dog food. A coordinate graph is shown. The label on the x axis is Weight in pounds. The label on the y axis is Total cost in dollars. There is a line connecting the points 0, 0 and 10, 5. Select each statement about the graph that is true. A. Point (0, 0) shows the cost is $0 for 0 pound of dog food. B. Point (1, 0.5) shows the cost is $1.00 for 0.5 pound of dog food. C. Point (2, 1) shows that 2 pounds of dog food cost $1. D. Point (4, 2) shows the cost is $4 for 2 pounds of dog food. E. Point (10, 5) shows that 10 pounds of dog food costs $5

Answer 1

We know that x-axis represents weight of dog food in pounds

AND y-axis represents Total cost in dollars

AND a line connects (0,0) and (10,5)

Based on the information we can plot a graph that can be seen in the attached image. The line represents y = $\frac{x}{2}$

Now, let's look at each of the statements to see which is true and which is false:

A) Point (0, 0) shows the cost is $0 for 0 pound of dog food.

(0,0) indicates that the cost for 0 pound dog food is $0. Hence, this statement is true.

B) Point (1, 0.5) shows the cost is $1.00 for 0.5 pound of dog food.

(1,0.5) indicates that the cost for 1 pound dog food is $0.5. Hence, this statement is false.

C) Point (2, 1) shows that 2 pounds of dog food cost $1.

(2,1) indicates that the cost for 2 pounds dog food is $1. Hence, this statement is true.

D) Point (4, 2) shows the cost is $4 for 2 pounds of dog food.

(4,2) indicates that the cost for 4 pounds dog food is $2. Hence, this is false.

E) Point (10, 5) shows that 10 pounds of dog food costs $5

(10,5) indicates the cost for 10 pounds dog food is $5. Hence, this is true.