At the deli counter in the supermarket, Nigel paid $10 for 2 1/2 pounds of roast beef. The cost of deli meat is proportional to its weight. What is the equation for the graph of this proportional relationship?
y = ___x
y = 4x
To find the equation for the graph of this proportional relationship, we need to determine the constant of proportionality, also known as the unit rate.
In this case, we know that Nigel paid $10 for 2 1/2 pounds of roast beef. To find the unit rate, we divide the total cost by the weight.
Total cost = $10
Weight of roast beef = 2 1/2 pounds
To convert 2 1/2 pounds to a decimal, we can express it as 2.5 pounds.
Unit rate = Total cost / Weight of roast beef
= $10 / 2.5 pounds
= $4 per pound
Therefore, the equation for the graph of this proportional relationship is:
y = 4x
Here, 'y' represents the total cost, and 'x' represents the weight of the roast beef in pounds.
To find the equation for the graph of this proportional relationship, we need to determine the constant of proportionality. In this case, the constant of proportionality represents the cost per pound of roast beef.
Let's start by finding the cost per pound. Nigel paid $10 for 2 1/2 pounds of roast beef. To find the cost per pound, we divide the total cost by the total weight:
Cost per pound = Total cost / Total weight
Cost per pound = $10 / 2.5 pounds
Simplifying, we get:
Cost per pound = $4
Therefore, the equation for the graph of this proportional relationship is:
y = 4x
where y represents the cost of the deli meat and x represents the weight of the deli meat in pounds.