Respuesta :
Answer:
A. The price of 1 pound of carrots will be $0.75.
B. The ordered pair (16, 12) on the graph represents the price of 16 pounds of carrots is $12.
Step-by-step explanation:
Let x represent the number of pounds of carrots and y represent the price in dollars.
We have been given that a proportional relationship between the number of pounds of carrots (x) and the price in dollars (y) is graphed, and the ordered pair (8, 6) is on the graphed line.
A. As we are told that our given quantities are proportional, so to find the price of 1 pound of carrots we will use proportions.
Since proportions states that two fractions are equal, so we can set a proportion from our given information as:
[tex]\frac{\text{The number of pounds of carrots}}{\text{The price in dollars}}=\frac{8}{6}[/tex]
[tex]\frac{x}{y}=\frac{8}{6}[/tex]
Upon substituting x=1 in our equation we will get,
[tex]\frac{1}{y}=\frac{8}{6}[/tex]
Let us cross multiply our equation.
[tex]8*y=1*6[/tex]
[tex]8y=6[/tex]
[tex]\frac{8y}{8}=\frac{6}{8}[/tex]
[tex]y=0.75[/tex]
Therefore, the price of 1 pound of carrots will be $0.75.
B. Since x represents the number of pounds of carrots and y represents the price of carrots in dollars.
In our given pair (16,12), x equals 16 and y equals 12. This means that price of 16 pounds of carrots is $12.
Therefore, the ordered pair (16, 12) on the graph represents the price of 16 pounds of carrots is $12.
