Respuesta :
Answer
Statements B, C and E are correct.
Statements A and D are not correct.
Explanation
To pick the correct statements, we will have to examine each of the statements given to pick the correct ones.
The Cost of peanuts is presented on the y-axis while the weight of the corresponding peanuts is on the x-axis.
First, we have to calculate the slope of the graph given to establish the cost of 1 pound of peanuts.
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]For this graph, it passes through (0, 0) and (7, 17.5)
[tex]\text{Slope = }\frac{17.5-0}{7-0}=\frac{17.5}{7}=2.5[/tex]Hence, we have established that the cost of 1 pound of peanuts is $2.5
So, taking the options one at a time
A.) 2.5 pounds of peanuts costs $1
We have already established that 1 pound of peanuts costs $2.5
1 pound = $2.5
2.5 pounds = 2.5 × $2.5 = $6.25
Hence, this statement isn't correct.
B.) 1 pound of peanuts costs $2.50
This is correct because we already established this from calculating the slope of the graph.
C.) 5 pounds of peanuts costs $12.50
1 pound = $2.5
5 pounds = 5 × $2.5 = $12.50
Hence, this statement is correct.
D.) 9 pounds of peanuts costs $19.50
1 pound = $2.5
9 pounds = 9 × $2.5 = $22.50
Hence, this statement isn't correct.
E.) The point (4, 10) is on the graph of the proportional relationship.
The point (4, 10) means 4 pounds of peanuts costs $10.
1 pound = $2.5
4 pounds = 4 × $2.5 = $10
Hence, this statement too is true.
Hope this Helps!!!
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