Graph Proportional Relationships Practice Complete this assessment to review what you've learned. It will not count toward your grade. At the dell counter in the supermarket Nigel paid $10 for 2 1/2 pounds of roast beef. The cost of delil meat is proportional to its weight What is the equation for the graph of this proportional relationship? (1 point) y = Box x
The equation for the graph of this proportional relationship is:
y = 4x
In this equation, y represents the cost of deli meat and x represents the weight of the meat in pounds. The constant of proportionality is 4, meaning that for every pound of meat, the cost will be $4.
To find the equation for the graph of this proportional relationship, we need to determine the relationship between the cost (y) and the weight (x) of the roast beef.
We are given that Nigel paid $10 for 2 1/2 pounds of roast beef. Let's convert the fraction to a decimal:
2 1/2 = 2 + 1/2 = 2.5
Hence, the cost is $10 and the weight is 2.5 pounds.
In a proportional relationship, the ratio of the variables remains constant. In this case, we can calculate the constant ratio by dividing the cost by the weight:
Constant ratio = Cost / Weight
Constant ratio = $10 / 2.5 pounds = $4 per pound
Therefore, the equation for the graph of this proportional relationship is:
y = 4x, where x represents the weight of the roast beef in pounds and y represents the cost in dollars.
To find the equation for the graph of a proportional relationship, we need to identify the constant of proportionality, which relates the two variables.
In this case, the cost of deli meat (y) is proportional to its weight (x). We are given that Nigel paid $10 for 2 1/2 pounds of roast beef.
To find the constant of proportionality, we can divide the cost (y) by the weight (x):
$10 / 2.5 pounds = $4 per pound.
Therefore, the constant of proportionality is $4 per pound.
So, the equation for the graph of this proportional relationship is:
y = 4x
Where y represents the cost of the deli meat and x represents its weight.