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 =
4x
To find the equation for the graph of this proportional relationship, we need to understand the relationship between the cost of deli meat (y) and its weight (x).
Given that Nigel paid $10 for 2 1/2 pounds of roast beef, we can use this information to set up a proportion:
y / x = 10 / 2.5
Simplifying this equation, we have:
y / x = 4
Now, we need to rearrange the equation to isolate y:
y = 4x
Therefore, the equation for the graph of this proportional relationship is:
y = 4x
To find the equation for the graph of this proportional relationship, we need to determine the constant of proportionality.
In this case, the cost of deli meat is proportional to its weight. Let's assume the cost is represented by 'y' and the weight is represented by 'x'.
We know that Nigel paid $10 for 2 1/2 pounds of roast beef. To begin, let's convert the weight to a decimal:
2 1/2 pounds = 2 + 1/2 = 2.5 pounds
Now, we can set up a proportion to find the constant of proportionality:
10 / 2.5 = y / x
Simplifying:
4 = y / x
Now, we can rearrange the equation to solve for y:
y = 4x
Therefore, the equation for the graph of this proportional relationship is y = 4x.