Question

The graph shows the relationship between pounds of dog food and total cost, in dollars, for the dog food. Which statement(s) about the graph is/are 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 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.
sorry there is a graph, I cant paste it

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.